In figure (5-E11) m 1 = 5 kg, m 2 = kg and F = 1 N. Find the acceleration of either block. Describe the motion of m if the string breaks but F continues to act.

Question

Philoid · Accepted Answer

Give:

m₁= 5 kg, m₂ = 2 kg and F = 1 N

Let the acceleration of the blocks be a.

From the free-body diagram, m₁a = m₁g + F − T …(i)

Again, from the free-body diagram, m₂a = T − m₂g − F …(ii)

Adding equations (i) and (ii), we have:

⇒ a= =4.2 m/s²

Hence, acceleration of the block is 4.2 m/s².

After the string breaks, m₁ moves downward with force F acting downward. Then,

m₁a = F + m₁g

5a = 1 + 5g

g = +0.2 m/s²

In figure (5-E11) m1 = 5 kg, m2 = kg and F = 1 N. Find the acceleration of either block. Describe the motion of m if the string breaks but F continues to act.

In figure (5-E11) m₁ = 5 kg, m₂ = kg and F = 1 N. Find the acceleration of either block. Describe the motion of m if the string breaks but F continues to act.