Advertisements
Advertisements
Question
The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height h is, ______
Options
`sqrt(4/3 gh)`
`sqrt(10/7 gh)`
`sqrt(2 gh)`
`sqrt(1/2gh)`
Advertisements
Solution
The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height h is, `underline(sqrt(10/7 gh))`.
APPEARS IN
RELATED QUESTIONS
A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?
Read each statement below carefully, and state, with reasons, if it is true or false;
The instantaneous speed of the point of contact during rolling is zero.
A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.
If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination
‘θ’ then linear acceleration of body rolling down the plane is _______.
A string is wrapped over the edge of a uniform disc and the free end is fixed with the ceiling. The disc moves down, unwinding the string. Find the downward acceleration of the disc.
A hollow sphere is released from the top of an inclined plane of inclination θ. (a) What should be the minimum coefficient of friction between the sphere and the plane to prevent sliding? (b) Find the kinetic energy of the ball as it moves down a length l on the incline if the friction coefficient is half the value calculated in part (a).
Discuss rolling on an inclined plane and arrive at the expression for acceleration.
A solid sphere rolls down from top of inclined plane, 7m high, without slipping. Its linear speed at the foot of plane is ______. (g = 10 m/s2)
A solid spherical ball rolls on an inclined plane without slipping. The ratio of rotational energy and total energy is ______.
When a sphere rolls without slipping, the ratio of its kinetic energy of translation to its total kinetic energy is ______.
