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A wheel rolling along a rough horizontal surface with an angular velocity ω strikes a rough vertical wall, normally. Find the initial angular velocity, as it tends to roll up the wall (neglect any slippage) due to impulse.

Important Questions on Rigid Body Dynamics: Part 2

EASY
JEE Advanced
IMPORTANT
Two bodies with moments of inertia I1 and I2I1>I2 have equal angular momenta. If their kinetic energies of rotation are E1 and E2 respectively, then:
EASY
JEE Advanced
IMPORTANT

A disc of mass M and radius R rolls without slipping on a horizontal surface. If the velocity of its centre is v0, then the total angular momentum of the disc about a fixed point P at a height 3/2 R above the centre C

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EASY
JEE Advanced
IMPORTANT

A yo-yo is placed on a rough horizontal surface and a constant force F, which is less than its weight, pulls it vertically. Due to this

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EASY
JEE Advanced
IMPORTANT

A yo-yo, arranged as shown, rests on a frictionless surface. When a force F is applied to the string, the yo-yo

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MEDIUM
JEE Advanced
IMPORTANT

A spool is pulled horizontally by two equal and opposite forces as shown in the figure. Which of the following statements is correct?

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MEDIUM
JEE Advanced
IMPORTANT
A ring, cylinder and solid sphere are placed on the top of a rough incline on which the sphere can just roll without slipping. When all of them are released at the same instant from the same position, then
EASY
JEE Advanced
IMPORTANT
Suppose you are standing on the edge of a spinning platform and step off at right angles to the edge (radially outward). Now consider it the other way. You are standing on the ground next to a spinning carousel and you step onto the platform at right angles to the edge (radially inward).
EASY
JEE Advanced
IMPORTANT
A ball is given a velocity v and angular velocity such that the ball rolls purely on a plank whose upper surface is rough enough to prevent slipping but lower surface in contact with the ground is smooth. No other force is acting on system.