Two bodies of mass m and 2m connected by an unextended spring of spring constant $‘ k ’$ are allowed to fall simultaneously in a uniform gravitational field $g$ . The extension $‘ x ’$ in the spring when the bodies A and B are falling

Question

Smart Achievers · Accepted Answer

(3)

Both fall with equal acceleration g, have equal displacements in time t; therefore Extension = 0.

Solution

Q.
Two bodies of mass m and 2m connected by an unextended spring of spring constant $‘ k ’$ are allowed to fall simultaneously in a uniform gravitational field $g$ . The extension $‘ x ’$ in the spring when the bodies A and B are falling

1 varies with time as $x = A \sin (ω t + ϕ)$

2 is constant and has value $\sqrt{\frac{2 m g}{k}}$

3 is zero

4 increases linearly with time

Ans.
(3)

Both fall with equal acceleration g, have equal displacements in time t; therefore Extension = 0.

Want Us to Email you About Special Offers & Updates?

Solution

Q. Two bodies of mass m and 2m connected by an unextended spring of spring constant ‘k’ are allowed to fall simultaneously in a uniform gravitational field g. The extension ‘x’ in the spring when the bodies A and B are falling

1 varies with time as x=Asin(ωt+ϕ)

2 is constant and has value 2mgk