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19.

A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane.Which body gets to the bottom first ?                        


A. sphere with greater rotational energy at bottom than cylinder B. sphere with lesser rotational energy at bottom than cylinder
C. cylinder with greater rotational energy at bottom than sphere D. both reach the bottom simultaneously with equal rotational energy at bottom




20.

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                        


A. 2 J B. 4 J
C. 6 J D. 8 J




21.

A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of centre of mass of rolling cylinder is
where 'g' is acceleration due to gravity and 0 is inclination of plane with hori¬zontal.                        


A. (1/3) g sinB B. (2/3) g cos 9
C. (2/3) g sin 0 D. g sin 9




22.

A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is
where g is acceleration due to gravity                        


A. (1/3) g sin0 B. (2/5) g sin 0
C. (3/7) g sin 0 D. (5/7) g sin0




23.

A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is                        


A. less than (1/3) tan 0 B. less than (2/3) tan 0
C. less than (1/3) sin 6 D. less than (2/3) sin 6




24.

Rate of change of angular momentum is equal to                        


A. force B. torque
C. linear momentum D. impulse




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