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


(a)The centre of mass moves towards left.
(b)The centre of mass moves towards right.
(c)The centre of mass remains stationary.
(d)The net torque about the centre of mass of the spool is zero.
(e)The centre of mass moves in vertical direction.

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Important Questions on Rigid Body Dynamics: Part 2
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 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.

EASY
JEE Advanced
IMPORTANT
A body is rolling without slipping on a horizontal plane. The rotational energy of the body is of the total kinetic energy. Identify the body.

EASY
JEE Advanced
IMPORTANT
A uniform pole of length and mass is pivoted on the ground with a frictionless hinge. The pole makes an angle with the horizontal. The moment of inertia of the pole about one end is If it starts falling from the position shown in the accompanying figure, the linear acceleration of the free end of the pole immediately after release would be

HARD
JEE Advanced
IMPORTANT
A small object of uniform density rolls up a curved surface with an initial velocity . It reaches up to a maximum height of with respect to the initial position. The object is

MEDIUM
JEE Advanced
IMPORTANT
A solid iron sphere rolls down an inclined plane, while an identical hollow sphere of same mass slides down the plane in a frictionless manner. At the bottom of the inclined plane, the total kinetic energy of sphere is

MEDIUM
JEE Advanced
IMPORTANT
A string is wound around a cylinder of mass and radius . The string is pulled vertically upward to prevent the centre of mass from falling as the string unwinds. What is the tension in the string?
