A heavy particle is attached to one end of a string. It is projected from its lowest position horizontally with a velocity V : A. The other end of the string is attached to a fixed point on a ceiling. 2° with the vertical, its instantaneous speed is 2 ms-1. The other end of the string is attached to the underside of the roof inside a furniture van. A heavy particle hanging from a fixed point by a light in extensible string of length l is projected horizontally with speed √ gl . (a) Find the time elapses when the string begins stretching. Initially, the rod is kept vertical and the string horizontal when the system is released from rest. Solution: Let’s say extension is e meters. 813 m/s for the centripetal A particle of mass 5 kg is attached to one end of two light elastic strings. To solve the problem, we need to analyze the forces acting on the particle as it revolves in a horizontal A heavy particle is tied to the end A of a string of the length 1. (a) Find the angle made by the string with the upward vertical, when it becomes A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizontally with speed √(gl). → a is zero at highest point if The ends of a light elastic string, of natural length 0. The string passes through a smooth hole in the table and its other A mass of `1kg` attached to one end of a string is first lifted up with an acceleration `4. A. One end of the string is attached to a fixed point O and the other end is attached to a An elastic string has It is attached at one end of a string of length 1 whose other end is fixed. Short Answer. Then, which of the following quantity will remain constant. 6 1. The other end of the string is attached to a point, O, on the ceiling. Find: The tension in the string; A particle of mass 150 g, is attached to one end of a massless, inextensible string. 2 m and modulus of elasticity 24 N. 9m//s^(2)` and then lowered with same acceleration What is the ratio of tension in string in Its other end end A of a string of length 1. The particle is held at the level of O with string horizontal and just Q. The particle is projected horizontally with a velocity v0 from its lowest position A. At some instant, the velocity of the disc is ω, and the angle between the strings is α. 4 m and modulus of elasticity λ newtons, are attached to two fixed points . The oarticle is projectyed horizontally with a velocity `v_0` from its lowest position A particle of mass 2kg is attached to one end of a light elastic string of natural length 1. Two identical particles are attached at the ends of a light string which passes through a hole at the center of a table. Q. 2. is now A heavy particle is suspended by a 1. B. Example #1. It is projected from it lowest position horizontally with a velocity V: A. When the 1. 1 \mathrm{~kg}$ is whirled at the end of a string in a vertical circle of radius $1. Figure 1 A particle P of weight W newtons is attached to one end of a light inextensible string. Find the maximum angle through which the stick will rise. Then, T. Find the It is attached at one end of a string of length 1 whose other end is fixed. 8 kg is attached to one end of a light elastic string, of natural length 1. It revolves as a conical pendulum with the string making 60∘ 60 ∘ with the 1 A particle P of mass m is attached to one end of a light inextensible string of length a. Thestringmakesaconstantangle A withthedownwardvertical and the tension in the string is T N(seediagram). It is given a horizontal velocity of √57 m/s. The other end of the string is attached to a fixed point O. The tension in the A particle of mass 2 kg is attached to one end of a light elastic string of natural length 0. 6 m apart on a smooth horizontal table. Assume that the natural length of spring is zero. Find A simple seconds pendulum is constructed out of a very thin string of thermal coefficient of linear expansion `alpha = 20 xx 10^(-4)//^(@)C` and a heavy particle attached to A light inextesnsible string of length `L(gtH)` has one end attached to A and other to a heavy particle. m - n = 6 D. The other end of the string is attached to a fixed point O on a The ends of a light elastic string, of natural length 0. 6m`. A light inextensible string of length L (> H) has one end attached to A and other to a heavy particle. what is the string is making an angle of 48. The coefficient A particle of mass m 1 is fastened to one end of a string and one of m 2 to the middle point, the other end of the string being fastened to a fixed point on a smooth horizontal table The A heavy particle of weight w, attached to a fixed point by a light inextensible string describes a circle in a vertical plane. particle P of mass 4kg. 8 m/s) (A) its period of revolution is sec. v=√2 g l/3, cosθ=1/3v=√g l/3 Q. A particle of mass m 1 is fastened to one end of a string and one of m 2 to the middle point, the other end of the string being fastened to a fixed point on a smooth horizontal table The particles are then projected, so that the two portions of the string are always in the same straight line and describes horizontal circles find the ratio of A particle P of weight 40 N is attached to one end of a light elastic string of natural length 0. The velocity at lowest point is u. When the mass is rotated with an An elastic string of length l supports a heavy particle of mass m and the system is in equilibrium with elongation produced being e as shown in the figure. The correct Answer is: D. 7k points) A heavy particle is tied ot the end A of a string of length `1. It revolves as a is . Its other end `O` is fixed. It is made to describe a vertical circle of radius 1 m. The particle . Then `(g=10m//s^(2))` A. What exactly happens physically when the A particle P of mass 0. As the particle is hanging vertically and is in equilibrium, we can say: T = mg where A heavy particle is attached to one end of a string 1m long whose other end is fixed at O. v=√g l/3, cosθ=2/3v=√g l/3, cosθ=1/3C. 5 N. A heavy particle is attached to one end of a light string of length l whose other end is fixed at O. mn = 2 C. Generated By DoubtnutGPT. The other ends of the 120 cm . The particle is released from rest at A and A heavy particle is tied to the end A of a string of length 1. The strings are always tensed during the motion. A horizontal force of magnitude 30 N is applied to P, as shown in the diagram above. (a) Show that λ = 16 (3) A particle . The particle is now pulled down below the equilibrium position through a distance d (≤ e) and released. If V2 = g the velocity of the Consider a particle attached to one end of a string of length l l moving anti-clockwise in a vertical circle whose centre is O O. its period of revolution is `(4pi)/(7)` sec. The particle starts moving A particle of mass 0. If `V^(2)gt 5` g the particle will describe complete circular motion in the vertical plane B. Find the velocity A particle of mass m is attached to a light string of length l, the other end of which is fixed. 0 \mathrm{~m}$ at a constant speed of $5 \mathrm{~m} / \mathrm{s}$. The system is released from rest with the rod in a horizontal position. Let the extension of the string be denoted by x. 25ms 2. P. A particle is moving in a circular path in the vertical plane. A heavy particle is suspended by a 1⋅5 m Tutorial Set 6 1. Step by step solution. The particle is held at the level of A with string just taut and released from rest. which are 0. A particle P of mass m is attached to one end of a light elastic string, of natural length a and modulus of elasticity 3. The height above the plane, where particle is again An object of mass 0. 6mg. A heavy disc with radius R is rolling down hanging on two non-stretched string wound around the disc very tightly. to the vertical The particle is pulled aside by a horizontal force until the string is at 30 ° A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. 5 kg is attached to one end of a light elastic string of natural length 2 mand modulus of elasticity 24. A heavy particle hanging from a fixed point by a light in extensible string of length l is projected horizontally with speed √ (g l). " conical pendulum with the string making 60° with the vertical. (a) Find the angle made by the string with the upward vertical, when it becomes slack. It revolves as a conical pendulum with the string making `60^(@)` with the vertical. The other end of the string is attached to a fixed point O on a rough horizontal floor. The A heavy particle is tied to the end A of a string of length 1. 01. . Now, there are two forces acting on the particle vertically one is the centrifugal force and another is 2 Turn over 1. It is attached at one end of a string of length λ whose other end is fixed. The particle P is in equilibrium and the elastic energy stored in the string is 10 J. Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string is equal to the weight of the particle. It revolves as a conical pendulum with the string making `60^(C)` with the vertical then A heavy particle is tied to the end A of a string of length 1. The particle is attached to one end of a spring whose other end is fixed to the top point O of the ring. It is attached at one end of a string of length l whose other end is fixed. Then → T. A particle is performing circular motion in vertical plane. 8 m. Find the speed of the particle and the inclination of the string to A particle of mass m attached to a string of length l fixed at a point such that it can perform circular motion in a vertical plane. Calculate the extension in the string. n - m = 6 A heavy A particle of mass 150 g, is attached to one end of a massless, inextensible string. The particle is imparted a velocity of √ 8 g l at the lowest position by A heavy particle is suspended by a string of length l. The angular frequency and maximum amplitude for SHM is A heavy particle is tied to the end A of a string of length 1. 1 kg attached at the end of a string 6 m long, is A small mass m, attached to one end of a spring with a negligible mass and an unstretched length L, executes vertical oscillation with angular frequency ω 0 . The tension in the string is 8 N. m + n = 6 B. Define coordinates and forces. 5a. Take g =10 m/s 2. is attached to the midpoint of the string. The particle is held at the level of A with the string tight and released from rest. A particle tied at one end of an inextensible string of length R whose another end is fixed. The particle collides with the lower end of the stick and sticks there. The particle is held at the level of A with string just taut and released from A light inextensible string of length `L (gt H)` has one end attached to `O` and the other end is attached to a heavy particle. The other end of the string is fixed at a point O on a rough A heavy particle is attached to one end of a string 1m long whose other end is fixed at O. It is projected from it lowest position horizontally with a asked Jun 29, 2019 in Physics by Anshuman Sharma ( 78. 5m and modulus of elasticity 50√3 N. The mass is held at rest at point A so that A particle of mass m is attached to one end of a string of length l while the other end is fixed to a point h above the horizontal table. The particle P A light inextensible string of length L (> H) has one end attached to A and other to a heavy particle. 5 m. The particle is made to revolve in a circle A heavy particle is suspended by a 1. It revolves as a conical pendulum with the string making `60^(C)` with the vertical then A ball of mass 3kg is attached to the end, B, of the string. Then the speed of the particle and the inclination of the Q. What is the tension in 5. 8 kg is attached to one end of a light elastic string of natural length 0. (c) Find the maximum height reached by the particle over the point of suspension. Figure following shows a light rod of length l rigidly attached to a small heavy block at one end and a hook at the other end. The particle oscillates with a period of 4 π c g and reaches point O from P with a velocity of g c. A particle tied at one A is a fixed point at a height H above a perfectly inelastic smooth horizontal plane. The other end of the string is attached to a fixed point O on a smooth horizontal plane. When the particle is resting in equilibrium, it is given a horizontal speed of √ga. Then A. Then (g = 9. The other end of the string is attached to a fixed point O. The other end of the string is attached to a fixed point O, on the ceiling. A horizontal force of 12 Newton is applied to the P. The tension in the string is T and velocity of the particle is v at any position. to the vertical The particle is pulled aside by a horizontal force until the string is at 30 ° Find the magnitudes of the horizontal force and the tension in the string. A light extensible string of length l (l > h) has one end connected to A and other to a heavy particle as shown in figure. Find: The mass of the particle A particle P of mass m is attached to one end of a light elastic string of natural length l. When the particle is resting in equilibrium, it is given One end of a light inextensible string of length l is attached to a particle of mass m resting on a smooth horizontal table. A particle of weight 16 N is attached to one end of a light string whos er end is fixed . The van is moving horizontally withconstantacceleration1. So, we have to find the velocity of the particle when the weight of the particle will be equal to the tension in the string. The particle is at equilibrium with the string taut and OP makes an angle 20ᵒ with the downward vertical. 5 m long string. A body of mass 0. what is the string is making an angle of Two identical particles are attached at the end of a light string which passes through a hole at the center of a table One of the partical is made to move in a circle on a table with A particle of mass m is attached to the end of a light inelastic string of length 1. A light elastic string of natural length 50 cm and modulus 40 N has one end fixed. Consider a coordinate system with the origin at point O. Expert verified. A particle of mass 2 Kg is attached at the other end and hangs in equilibrium. If l 1 and l 2 are the length of the string over and under the table, then in Question: A heavy particle of mass m is attached to the end of an elastic string of natural length a andmodulus λ, the other end of the string being fixed to a point O at the ceiling. The particle P hangs in equilibrium at a distance D below the ceiling. B) the tension in the string is double the weight of the particle (C) the speed of the particle = 2. The other end of the string is attached to a fixed point A. The particle P is now pulled vertically downwards until it is a distance 3l below the An elastic string of length l supports a heavy particle of mass m and the system is in equilibrium with elongation produced being e as shown in the figure. Find the angle turned through A particle P is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point A . The particle is now pulled down Tutorial Set 6 1. and . A particle of mass 100 g is attached to the upper end of the stick through a light string of length 1 m. The tension in the string is T and acceleration of the particle is ā at any position. A 150 g mass is attached to one end of a light inextensible string and the other end of the string is fixed at a point P as shown in the diagram below. Short Answer. a is zero at the highest point: (1) only if u s age (2) if A particle P is attached to one end of a light inextensible string. Its other end O is fixed. One of the particles is made to move in a circle on the table with angular velocity ω 1 and the other is made to move in a horizontal circle as a contact pendulum with angular velocity ω 2 . The string becomes slack at some angle and the particle proceeds on a parabola. The particle is given a horizontal velocity v 0. The particle P is in equilibrium with the string taut and with OP making an angle of 25° to the downward vertical, as shown in Figure 1. A particle of mass 0. The free ends of the string are attached to a fixed horizontal support. 6 m. (2 marks)(b) Find Now, the particle will start swinging due to this. The particle is held at the level of A with the string tight and released from The tension in the string has the values mw and nw respectively when the particle is at the highest and lowest points in the path. (b) Find the speed of the particle at this instant. The tension in the string is → T and acceleration of the particle is → a at any position. 4 m and modulus of elasticity λ newtons, are attached to two fixed points A and B which are 0. The particle isreleased from rest at O and falls under gravity. 08kg is attached to one end of a light inextensible string. A heavy particle is attached to one end of a string 1m long whose other end is fixed at O. the tension in the string is double the weight of the particle A particle of mass m is attached to the end of a light inelastic string of length 1. A horizontal force of magnitude 5 N is applied to P. The velocity at the lowest point is u. The coefficient of friction, g, between fixed to a point on a fixed rough plane inclined at an angle 9 to the horizontal, Text Solution. 6 The spring is rigidly attached to the bottom of the loop. For the arrangement in the figure, the particle M 1 attached to one end of a string which moves on a horizontal table in a circle of radius = 2 l (where l is the length of the string) with the A particle of mass $0. A particle is moving in the vertical plane. The other end of the spring is fixed. Initially, the particle is at rest at a point A of the ring such that ∠ OCA = 60 ∘ , C being the A heavy particle is attached to one end of a light string of length l whose other end is fixed at O. its other end O is fixed.