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General
Easy
Question
Velocity of C.M. and angular velocity of system in figure (A) are respectively
The correct answer is:
Related Questions to study
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A mechanism consists of a part which is translated with a velocity u and a rod AB of length L and mass M hinged at A. The rod rotates about axis A with angular velocity 
. The kinetic energy of rod when it is vertical as shown is
A mechanism consists of a part which is translated with a velocity u and a rod AB of length L and mass M hinged at A. The rod rotates about axis A with angular velocity . The kinetic energy of rod when it is vertical as shown is
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Two strings support a uniform rod as shown. String at end B is cut. Which of the following is true just after cut
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A small ball of mass m moving with the velocity V, collide with the smooth wall elastically as shown in the figure. After impact the change in angular momentum about P is
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Two insects P and Q are firmly sitting at the ends of a massless semicircular wire of radius R and two more insects A and B are firmly sitting at the bottom of the wire. The wire is given an angular velocity w0 about a vertical axis through its centre as shown in the figure. Mass of each insect is M. Now A and B crawl to the opposite ends to meet P and Q. Final angular velocity attained by the rod is equal to
Two insects P and Q are firmly sitting at the ends of a massless semicircular wire of radius R and two more insects A and B are firmly sitting at the bottom of the wire. The wire is given an angular velocity w0 about a vertical axis through its centre as shown in the figure. Mass of each insect is M. Now A and B crawl to the opposite ends to meet P and Q. Final angular velocity attained by the rod is equal to
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A rectangular plate of mass 20kg is suspended from points A and B as shown. If pin B is removed determine the initial angular acceleration (in
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An L shaped thin uniform rod of total length 2l is free to rotate in a vertical plane about a horizontal axis at P as shown in the figure The bar is released from rest. Neglect air and contact friction. The angular velocity at the instant it has rotated through 90° and reached the dotted position shown is
An L shaped thin uniform rod of total length 2l is free to rotate in a vertical plane about a horizontal axis at P as shown in the figure The bar is released from rest. Neglect air and contact friction. The angular velocity at the instant it has rotated through 90° and reached the dotted position shown is
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Two solid uniform disks of equal mass each are mounted to rotate about an axis fixed through the center of the disk. Each disk is initially at rest. The radii of the disks are 
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Two solid uniform disks of equal mass each are mounted to rotate about an axis fixed through the center of the disk. Each disk is initially at rest. The radii of the disks are A force F is applied to each disk at its edge for the same amount of time. Assume that friction at pulley axis is negligible. What statement is true about the kinetic energy (K) and magnitude of angular momentum (L) of the disks?
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A thin plate of mass M, length L, and width 2d is mounted vertically on a frictionless axle along the z-axis, as shown. Initially the object is at rest. It is then tapped with a hammer to provide a torque 
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A thin plate of mass M, length L, and width 2d is mounted vertically on a frictionless axle along the z-axis, as shown. Initially the object is at rest. It is then tapped with a hammer to provide a torque , which produces an angular impulse H about the z-axis of magnitude What is the angular speed w of the plate about the z-axis after the tap?
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Three equal masses m are rigidly connected to each other by massless rods of length l forming an equilateral triangle, as shown above. The assembly is to be given an angular velocity about an axis perpendicular to the triangle. For fixed , the ratio of the kinetic energy of the assembly for an axis through B compared with that for an axis through A is equal to
Three equal masses m are rigidly connected to each other by massless rods of length l forming an equilateral triangle, as shown above. The assembly is to be given an angular velocity about an axis perpendicular to the triangle. For fixed , the ratio of the kinetic energy of the assembly for an axis through B compared with that for an axis through A is equal to
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A uniform rectangular solid of side length L and width w placed on a frictionless incline of variable angle, 
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Two particles A and B of mass 5 kg and 9 kg respectively rest on the smooth faces of a fixed wedge as shown in the figure. They are connected by a light inextensible string passing over a smooth pulley at C and are released from rest from the position shown in the diagram. In the subsequent motion B hits the ground and does not rebound. Find
Two particles A and B of mass 5 kg and 9 kg respectively rest on the smooth faces of a fixed wedge as shown in the figure. They are connected by a light inextensible string passing over a smooth pulley at C and are released from rest from the position shown in the diagram. In the subsequent motion B hits the ground and does not rebound. Find
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A chain of length L weighing l per unit length begins to fall through a hole in the ceiling.
A chain of length L weighing l per unit length begins to fall through a hole in the ceiling.
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The velocity of the cart at time t 
The velocity of the cart at time t
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A rod of length 1000 mm and coefficient of linear expansion a = 10–4 per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young’s modulus of the rod is 1011 N/m2 . If the temperature is increased by 20°C, then the stress developed in the rod is 
A rod of length 1000 mm and coefficient of linear expansion a = 10–4 per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young’s modulus of the rod is 1011 N/m2 . If the temperature is increased by 20°C, then the stress developed in the rod is
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If coefficient of friction between the two blocks is equal to 0.4, then magnitude of initial slope (in S.I. unit) 
versus t (in SI unit) will be:
If coefficient of friction between the two blocks is equal to 0.4, then magnitude of initial slope (in S.I. unit) versus t (in SI unit) will be:
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