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Class XI Physics System of Particles & Rotational Motion 5

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Question 1

The angular velocity of a body is and a torque acts on it. The rotational power will be-

Question 2

Two wheels P and Q are mounted on the same axle. The moment of inertia of P is 6 kg-m2 and it is rotating at 600 rotations per minute and Q is at rest. If the two are joined by means of a clutch then they combined and rotate at 400 rotations per minute. The moment of inertia (in kg-m2) of Q will be -

Question 3

A uniform heavy disc is rotating at constant angular velocity (ω) about a vertical axis through its centre O. Some wax W is dropped gently on the disc. The angular velocity of the disc-

Question 4

A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure. (Take direction coming out of the plane as positive Z direction.)
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Which of the following statements is true for the angular momentum about the origin?

Question 5

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is

Question 6

A hoop of radius r and mass m rotating with an angular velocity  is placed on a rough horizontal surface. The initial velocity of the center of the hoop is zero. What will be the velocity of the center of the hoop when it ceases to slip?

Question 7

A particle is projected from a point O with velocity u at an angle of 60o with the horizontal. When it is moving in a direction at right angles to its direction at O, its velocity then is given by

Question 8

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc of reach its other end. During the journey of the insect, the angular speed of the disc
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Jul 21JEE & BITSAT