3h Two small blocks, each of mass m, are connected by a string of constant lengt

Question

3h Two small blocks, each of mass m, are connected by a string of constant length 4h and negligible mass. Block A is placed on a smooth tabletop as shown above, and block B hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B is then released from rest at a distance h above the floor at time t = O. Express all algebraic answers in terms of h, m, and g. a. Determine the acceleration of block B as it descends b. Block B strikes the floor and does not bounce. Determine the time t- t at which block B strikes the floor. c. Describe the motion of block A fron time t = 0 to the time when block B strikes the floor. d. Describe the motion of block A from the time block B strikes the floor to the time block A leaves the table. e. Determine the distance between the landing points of the two blocks.

Explanation / Answer

(A) m g - T = m a

on A : T = m a

m g = 2 m a

a = g/2 Or 4.9 m/s^2

(B) h = 0 + a t^2 /2

t = sqrt(4 h / g)

(c) it will on table with increasing speed.

it will travel h distance on table.

v = a t = sqrt(hg)

(d) after that it will travel with constant velocity,

v = sqrt(h g) until it reaches the end .

then 2 h = g t'^2 / 2

t' = sqrt(4 h / g)

d = v t' = 2 h

  

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