A solid sphere of mass `m` and radius `R` is released from top of an incline having co-efficent of friction `mu` and making an angle of `45^(@)` with the horizontal. Choose the correct alternative (s)

A solid sphere having mass m and radius r rolls down an inclined plane. Then its kinetic energy is

A block of mass m is pulled on an incline surface having coefficient of friction mu=1 & angle of inclination theta=30^(@) , with the horizontal, such that required external force is minimum. The angle made by this force with the incline is :

A uniform sphere of mass m and radius r rolls without slipping down a inclined plane, inclined at an angle 45^(@) to the horizontal . Find the magnitude of frictional coefficient at which slipping is absent :

A solid sphere of mass m and radius r is released from rest at the top of smooth inclined plane of inclination theta . The ratio of acceleration when it rolls down the plane without slipping and when it slipping down the plane is

A spherical object of mass m and radius R is released from the top of a smooth inclined plane of height h and angle of inclination is 37° . The radius of gyration of the object is K. The speed of object at the bottom of inclined plane is

A spherical object of mass m and radius R is released from the top of a smooth inclined plane of height h and angle of inclination is 37° . The radius of gyration of the object is K. The speed of object at the bottom of inclined plane is