A particle is projected directly along a rough plane of inclination `theta` with velocity u. If after coming to the rest the particle returns to the starting point with velocity v, the coefficient of friction between the partice and the plane is

. A particle is projected up along a rough inclined plane of inclination 45^(@) with the horizontal. If the coefficient of friction is 0.5, the acceleration is

A particle is projected on a frictionless inclined plane of inclination 37^(@) at an angle of projection 45^(@) from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

A particle is projected on a frictionless inclined plane of inclination 37^(@) at an angle of projection 45^(@) from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

A particle is projected up a 37^(@) rough incline with velocity v_(0) . If mu = 1//2 , the speed with which it returns back to the starting point is v . Then v//v_(0) is

A paricle is projected up from the bottom of an inlined plane of inclination alpha with velocity v_0 If it returns to the points of projection after an elastic impact with the plane, find the total time of motion of the particle.

A particle is projected up a 45^(@) rough incline with a velocity v. The coeffciient of friciton is 0.5. The speed with which it returns back to the starting point is v'. Then v' // v is :

A particle is projected up a 45^(@) rough incline with a velocity v. The coeffciient of friciton is 0.5. The speed with which it returns back to the starting point is v'. Then v' // v is :

A particle is projected up a rough inclined plane of inclination theta and friction coefficient mu . If the time of ascent is half of the time of descent, the friction coefficient mu is equal to