A 2 m long wooden plank of mass 20 kg is pivoted (supported from below) at 0.5 m from either end. A person of mass 40 kg starts walking from one of these pivots to the farther end. How far can the person walk before the plank topples?

A uniform wooden plank, 5 m long and mass of 40 kg, is resting horizontally on two supports 0.5 m from each end. A boy weighing 45 kg stands on the plank, 1.5 m from one end. Find the reaction at the supports.

A bullet of mass 10 g is fired with a velocity of 100 m/s from a rifle of mass 2.5 kg, the recoil velocity of the rifle is

Two men are carrying a uniform beam of mass 200 kg of length 10 m on their shoulders. If one man is at 1 m from one end and other is 2 m from other end, find the load supported by each.

A metal ball of mass 5 kg falls from a height of 490 m. How much time will it take to reach the ground ?

A 2 m long ladder of mass 10 kg is kept against a wall such that is 1.2 m. away from the wall. The wall is smooth but the ground is rough. Roughness of the ground is such that it offers a maximum horizontal resistive force (for sliding motion) half that of normal reaction at the point of contact. A monkey of mass 20 kg starts climbing the ladder. How far can it climb along the ladder? How much is the horizontal reaction at the wall?

Calculate the potential energy of a body of mass 5 kg at a height of 2m from the ground.

A uniform beam 1 m long is supported on knife-edge at 60 cm from left end. A mass of 100 g is suspended at a distance of 50 cm and a mass of 50 g is suspended at 20 cm from same end. From where should the mass of 200 g be suspended so that beam will remain horizontal. Also find normal reaction at the support.

A body of mass 0.2 kg performs linear S.H.M. It experiences a restoring force of 0.2 N when its displacement from the mean position is 4 cm . Determine force constant

A steel bar AB of mass 10 kg and length 1 m is kept horizontal by supporting it at the two ends. Two weights of 4 kg and 6 kg are suspended from points of the bar at distances 30 cm and 80 cm respectively from the end A. The reaction at the end A is