Two masses m 1 and m 2 are connected by a string of length l . They are held in a horizontal plane at a height H above two heavy plates A and B made of different materials placed on the floor. Initially, the distance between the two masses is a

Question

Two masses m 1 and m 2 are connected by a string of length l . They are held in a horizontal plane at a height H above two heavy plates A and B made of different materials placed on the floor. Initially, the distance between the two masses is a < l . When the masses are released they fall freely and collide with the plates simultaneously. The coefficient of restitution for the collision of the first ball-plate pair is 0 . 8 and for the second ball-plate pair is 0 . 4 . The time after the collision when the string becomes taut is

Aicharya · Accepted Answer

The string will become taut when h 1 - h 2 = l 2 - a 2 h 1 = 0 . 8 v t - 1 2 g t 2 h 2 = 0 . 4 v t - 1 2 g t 2 h 1 - h 2 = 0 . 4 v t 0 . 4 v t = l 2 - a 2 , where v = 2 g H t = 5 2 l 2 - a 2 2 g H

Two masses m 1 and m 2 are connected by a string of length l . They are held in a horizontal plane at a…

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