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

Related Mcqs:

A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
A. (1/3) g sinB
B. (2/3) g cos 9
C. (2/3) g sin 0
D. g sin 9
where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal
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
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?
A. (1/3) g sin0
B. (2/5) g sin 0
C. (3/7) g sin 0
D. (5/7) g sin0
where g is acceleration due to gravity
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?
A. zero
B. maximum
C. minimum
D. unpredictable
When a body slides down an inclined surface, the acceleration of the body is given by__________________?
A. g
B. gsinG
C. g cos 6
D. g tan 6
where ‘g’ is acceleration due to gravity and 9 is the angle of inclination of surface with the horizontal
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?
A. less than 1
B. equal to 1
C. between 1 and 2
D. greater than 2
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?
A. 3/4
B. 4/5
C. 5/3
D. 3/5
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?
A. a simple harmonic motion
B. a rectilinear motion with constant speed
C. a damped oscillatory motion
D. none of the above
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?
1) a force is required to move the body upwards
2) a force is required to move the body downward
3) the body will not be in equilibrium
The correct answer is?
A. only (1)
B. only (2)
C. both (1) and (2)
D. both (1) and (3)
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is____________________?
A. 2/3
B. 1/5
C. 3/5
D. 1/3