Question: A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is___________________?

• 1. n rpm
• 2. n/2 rpm
• 3. n/4 rpm
• 4. 2n rpm

Question: Rate of change of angular momentum is equal to_______________?

• 1. force
• 2. torque
• 3. linear momentum
• 4. impulse

Question: A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?

• 1. (1/3) g sin0
• 2. (2/5) g sin 0
• 3. (3/7) g sin 0
• 4. (5/7) g sin0

Question: A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?

• 1. 2 J
• 2. 4 J
• 3. 6 J
• 4. 8 J

Question: The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?

• 1. 64 J
• 2. 400 J
• 3. 464 J
• 4. 89 J

Question: Minimum potential energy of a system will be in the position of________________?

• 1. stable equilibrium
• 2. unstable equilibrium
• 3. neutral equilibrium
• 4. all of the above

Question: A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?

• 1. 1 m x 2 m
• 2. 2 m x 3 m
• 3. 1 m x 3m
• 4. equally stable on all faces

Question: A cube on a smooth horizontal surface___________________?

• 1. cannot be in stable equilibrium
• 2. cannot be in neutral equilibrium
• 3. cannot be in unstable equilibrium
• 4. can be in any of these states

Question: When two forces, each equal to P, act at 90° to each other, then the resultant will be_____________?

• 1. P
• 2. PV2
• 3. P/V2
• 4. 2P

Question: A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is_______________?

• 1. 109.5 mm from A
• 2. 119.5 mm from A
• 3. 125.5 mm from A
• 4. 132.5 mm from A