Question

A system of wedge and block connected by massless spring, as shown in figure is released with the spring in its natural length. The masses of bodies and spring constant are as shown in figure. All surfaces are frictionless. Maximum elongation in the spring will be-

• A. $\frac { 2 \mathrm { mg } \sin \theta } { \mathrm { k } }$
• B. $\frac { \mathrm { mg } \sin \theta } { \mathrm { k } }$
• C. $\frac { 4 \mathrm { mg } \sin \theta } { \mathrm { k } }$
• D. $\frac { \mathrm { mg } \sin \theta } { 2 \mathrm { k } }$

Answer 1

Answer: (A)

$\frac { 2 \mathrm { mg } \sin \theta } { \mathrm { k } }$

Answer 2

From energy conservation