You visited us 2 times! Enjoying our articles? Unlock Full Access!

Kinetic Energy Formulae

In an ideal p...

Question

In an ideal pulley particle system, mass $m_{2}$ is connected with a vertical spring of stiffness k. If mass $m_{2}$ is released from rest, when the spring is undeformed, find the maximum compression of the spring.

\frac{12 (m_{2} - m_{1}) g}{k}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{3 (m_{2} - m_{1}) g}{k}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 (m_{1} - m_{2}) g}{k}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{5 (m_{2} - m_{1}) g}{k}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{2 (m_{1} - m_{2}) g}{k}$

$T = m_{1} g$
Net force on $m_{2} = m_{2} g - T$
$= m_{2} g - m_{1} g$

$\Rightarrow \frac{1}{2} k x^{2} = (m_{2} g - m_{1} g) . x$

$\Rightarrow \frac{k x}{2} = m_{2} g - m_{1} g$

$\Rightarrow x = \frac{2 (m_{2} - m_{1}) g}{k}$

Hence, the answer is $\frac{2 (m_{2} - m_{1}) g}{k} .$

Suggest Corrections

Similar questions

Q. In an ideal pulley particle system, mass

m_{2} (> m_{1})

is connected with a vertical spring of stiffness

k

. If mass

m_{2}

is released from rest, when the spring is undeformed, find the maximum compression of the spring.

Q. In the ideal pulley-particle system shown, the mass

m_{2}

is connected with a vertical spring of spring constant

K

(m_{2} > m_{1})

. If the mass

m_{2}

is released from rest when the spring is undeformed, find the maximum compression of the spring.

A block of mass

m

is released from rest from a height

h

onto a smooth sledge of mass

M

fitted with an ideal spring of stiffness

k

Maximum compression of the spring is

\sqrt{\frac{y m g h}{k}}

. Find

2 y

Q. Two smooth blocks of masses

m_{1}

and

m_{2}

attached with an ideal spring of stiffness

k

and kept on a horizontal surface. If

m_{1}

is projected with a horizontal velocity

ν_{0}

, find the maximum compression of the spring.

In the figure shown, stiffness of spring is k and mass of the block is m. The pulley is fixed. Initially the spring is relaxed. Now the system is released from rest. The

maximum elongation in the spring is

Join BYJU'S Learning Program

In an ideal pulley particle system, mass m2 is connected with a vertical spring of stiffness k. If mass m2 is released from rest, when the spring is undeformed, find the maximum compression of the spring.

The correct option is C 2(m1−m2)gkT=m1gNet force on m2=m2g−T =m2g−m1g⇒12kx2=(m2g−m1g).x⇒kx2=m2g−m1g⇒x=2(m2−m1)gkHence, the answer is 2(m2−m1)gk.

In an ideal pulley particle system, mass $m_{2}$ is connected with a vertical spring of stiffness k. If mass $m_{2}$ is released from rest, when the spring is undeformed, find the maximum compression of the spring.