Find the ratio of time taken in case-1 to case- 2 for block placed on inclined surface to reach bottom from same height as shown.

The ratio of 2:1 is observed in case of

The ratio of the time taken by a solid sphere and that taken by a disc of the same mass and radius to roll down a rough inclined plane from rest, from the same height is

A block of mass m takes time t to slide down on a smooth inclined plane of angle of inclination theta and height h. If same block slids down on a rough inclined plane of same angle of inclination and same height and takes time n times of initial value, then coefficient friction between block and inclined plane is

A wooden block sliding down from the top of a smooth inclined plane starting from rest takes t_(1) , seconds to reach the bottom of the plane and attains velocity V_(1) . Another block of twice the mass falling freely from the same height takes t_(2) sec. to reach the bottom of the plane and attains V_(2) . If angle of inclination of the plane is 30^(@) .

In the three figure shown, find acceleration of block and force of friction on it in each case.

A ring disc and solid sphere are having same speed of COM at the bottom of incline as shown in the figure. If surface of incline is sufficiently rough. The ratio of height attend by ring, disc and sphere is

A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density rho//3 . Situation I: Initially, the tank is filled with water of density rho to a height such that the height of water above the top of the block is h_1 (measured from the top of the block). Situation II: The water is removed from the tank to a height h_2 (measured from the bottom of the block), as shown in the figure. The height h_2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere. Find the minimum value of height h_1 (in situation 1), for which the block just starts to move up?

A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density rho//3 . Situation I: Initially, the tank is filled with water of density rho to a height such that the height of water above the top of the block is h_1 (measured from the top of the block). Situation II: The water is removed from the tank to a height h_2 (measured from the bottom of the block), as shown in the figure. The height h_2 is smaller than h (height of the block) and thus the block is exposed to the atmosphere. Find the minimum value of height h_1 (in situation 1), for which the block just starts to move up?

Assertion : A ring and a disc of same mass and radius begin to roll without slipping from the top of an inclined surface at t=0 . The ring reaches the bottom of incline in time t_(1) while the disc reaches the bottom in time t_(2) , then t_(1) lt t_(2) Reason : Disc will roll down tha plane with more acceleration because of its lesser value of moment of inertia.

A sphere and circular disc of same mass and radius are allowed to roll down an inclined plane from the same height without slipping. Find the ratio of times taken by these two to come to the bottom of incline :