Two objects P and Q of masses 2m and m are connected to two springs of spring constant 2k and k respectively. Other ends of springs are connected to rigid walls as shown. Initially springs are compres

Question

Two objects P and Q of masses 2m and m are connected to two springs of spring constant 2k and k respectively. Other ends of springs are connected to rigid walls as shown. Initially springs are compressed by lengths 2A and A respectively, and then released.

TestHub · Accepted Answer

Each mass oscillates independently on its own spring from the given initial compression.

Energy: $\frac{1}{2} (2 k) (2 A)^{2} = 4 k A^{2}$ for P; $\frac{1}{2} k A^{2}$ for Q; maximum speeds at the natural length.

Comparing the resulting amplitudes, periods and maximum speeds of P and Q, statements (A) and (D) hold.

Answer: A,D

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