KVPY2012PhysicsLaws of Motion
Two blocks ( 1 and 2) of equal mass m are connected by an ideal string (see figure shown) over a frictionless pulley. The blocks are attached to the ground by springs having spring constants k ₁ and k ₂ such that k ₁> k ₂ Initially, both springs are unstretched. The block 1 is slowly pulled down a distance x and released. Just after the release the possible values of the magnitude of the acceleration of the blocks a₁
Options
- AEither (a₁=a₂= (k₁+k₂ ) x 2 m ) or (a₁ k₁ x m -g . and .a₂= k₂ x m +g )
- B(a₁=a₂ (k₁+k₂ ) x 2 m ) only
- C(a₁=a₂= (k₁-k₂ ) x 2 m ) only
- DEither ( a ₁= a ₂= ( k ₁- k ₂ ) x 2 ~m ) or ( a ₁= a ₂= ( k ₁ k ₂ ) x ( k ₁+ k ₂ ) m - g )
Correct answer
B. (a₁=a₂ (k₁+k₂ ) x 2 m ) only
Step-by-step solution
array l T + k ₁ x - mg = ma ₁ k ₂ x + mg - T = ma ₂ array By constraint relation a ₁= a ₂