The lengths of smooth & rough inclined planes of inclination `45^(@)` is same Times of sliding of a body on two surface `t_(1)t_(2)` and `mu =0.75` then `t_(1):t_(2)=` .

The lengths of smooth and rough inclined planes of inclination 45^(deg) is same.Times of sliding of a body on two surfaces are t_(1),t_(2)and mu=0.75

(a) A block slides down an incline of angle 45^(@) with an acceleration (g)/(2 sqrt(2)) . Find the friction coefficient. (b) A block slides down at 45^(@) inclined plane in twice the time it takes to slide down a smooth 45^(@) incline. What is friction co-efficient between the block and the incline? ( c) A block slides down on a rough inclined plane of inclination 30^(@) with constant velocity. If this block is projected up the plane with a velocity of 10 m//s , then at what distance along the inclined plane , the block will come to rest? (d) A body is launched up on a rough inclined plane of inclination theta . If time of ascent is half of time of descent, find the friction coefficient.

A block released from rest from the tope of a smooth inclined plane of angle of inclination theta_(1) = 30^(@) reaches the bottom in time t_(1) . The same block, released from rest from the top of another smooth inclined plane of angle of inclination theta_(2) = 45^(@) reaches the bottom in time t_(2) . Time t_(1) and t_(2) are related as ( Assume that the initial heights of blocks in the two cases are equal ).

A block released from rest from the tope of a smooth inclined plane of angle of inclination theta_(1) = 30^(@) reaches the bottom in time t_(1) . The same block, released from rest from the top of another smooth inclined plane of angle of inclination theta_(2) = 45^(@) reaches the bottom in time t_(2) . Time t_(1) and t_(2) are related as ( Assume that the initial heights of blocks in the two cases are equal ).