two small blocks are connected by a string of constant length 4h and negligible
ID: 1483347 • Letter: T
Question
two small blocks are connected by a string of constant length 4h and negligible mass. Block A has a mass of 3m and is placed on a smooth, frictionless tabletop. Block B has a mass of 2m and hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B is the released from rest at a distance h above the floor at time t = 0.
A) Determine the acceleration of block as it descends.
B) As block B descends, which block has a greater net force acting on it? please explain
C) Block B strikes the floor and does not bounce. Determine the time t1 at which block B strikes the floor.
D) Describe the motion of block A from time t=0 tot the time t1 when block B strikes the floor.
E ) Describe the motion of block A from the time t1 when block B strikes the floor to the time t2 when block A leaves the table.
F ) Determine the speed with which block A strikes the floor.
Explanation / Answer
force equation of block A
T = 3m * a
force equation of blockB
2m * g - T = 2m * a
2m * g - 3m * a = 2m * a
2 * g - 3 * a = 2 * a
2g = 5a
a = 3.92 m/s^2
acceleraton = 3.92 m/s^2
as block B descends block A will have greater force as for block A tension force reduces the force of gravity
time it'll take to travel 2h distance
s = ut + 0.5 * at^2
2h = 0 + 0.5 * 3.92 * t^2
sqrt(4h / 3.92) = t
time it'll take to descend = sqrt(4h / 9.8)
total time it'll take to descend = sqrt(4h / 3.92) + sqrt(4h / 9.8)
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