A small bead of mass m is given an initial velocity of magnitude `v_(0)` on a horizontal circular wire. If the coefficient of kinetic friction is `mu_(k)`, determine the distance travelled before the collar comes to rest.

A small collar of mass m is given an intial velocity of magnitude v_(0) on the horizontal circular track fabricated from a slender rod. If the coefficient of kinetic friction is mu_(K) , determine the distance travelled before the collar comes to rest. (Recognize that the friction force depends on the net normal force).

A small hoop of mass m is given an initial velocity of magnitude v_(0) on the horizontal circular ring of radius 'r' . If the coefficient of kinetic friction is mu_(k) the tangential acceleration of the hoop immediately after is release is ( assume the horizontal ring to be fixed and not in contact with any supporting surface )

A block is projected along a rough horizontal road with a speed of 10 m/s. If the coefficient of kinetic friction is 0.10, how far will it travel before coming to rest?

A block of mass m moving with a velocity v_(0) on a rough horizontal surface from x=0 coefficient of friction is given by mu=mu_(0)=ax . Find the kinetic energy of the block as function of x before it comes to rest.

A collar having a mass M and negligible size slides over the surface of a horizontal circular rod for which the coefficient of kinetic friction is mu_(k) If the colar is given a speed v_(1) and then released at theta=0^(@) , determine how far d it slides on the rod before coming to rest. Given, M=0.75kg, r=100mm, mu_(k)=0.3,g=9.81m//s^(2),v_(1)=4m//s .

A small mass slides down an inclined plane of inclination theta the horizontal the coefficient of friction is m = mu_(0)x , where x is the distance by the mass before it stops is .

A particle of mass m is given a velocity u on a rough horizontal surface of friction coefficient mu . The average power imparted by friction until it stops is