M mass of a man stands at one end of a plank | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the mass of the man be $M$ and the mass of the plank be $m = \frac{M}{3}$.Since there is no external horizontal force,the center of mass of th

Vedclass · Accepted Answer

$\frac{L}{4}$

Vedclass · Answer

(B) Let the mass of the man be $M$ and the mass of the plank be $m = \frac{M}{3}$.Since there is no external horizontal force,the center of mass of the system remains stationary.Let $x$ be the displacement of the plank relative to the ground in the opposite direction of the man's motion.The displacement of the man relative to the ground is $(L - x)$.Using the principle of conservation of the center of mass: $M(L - x) = m(x)$.Substituting $m = \frac{M}{3}$:$M(L - x) = \frac{M}{3} x$$L - x = \frac{x}{3}$$L = x + \frac{x}{3} = \frac{4x}{3}$$x = \frac{3L}{4}$ (This is the displacement of the plank).The displacement of the man relative to the ground is $L - x = L - \frac{3L}{4} = \frac{L}{4}$.

$M$ mass of a man stands at one end of a plank of length $L$ which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is $\frac{M}{3}$,then the distance that the man moves relative to the ground is:

Similar Questions

The figure shows a man of mass $m$ standing at the end $A$ of a trolley of mass $M$ placed at rest on a smooth horizontal surface. The man starts moving towards the end $B$ with a velocity $u_{rel}$ with respect to the trolley. The length of the trolley is $L$. Choose the correct statement.

$A$ mass $m$ is at rest on an inclined plane of mass $M$,which is further resting on a smooth horizontal plane. Now,if the mass $m$ starts moving under gravity,the position of the centre of mass of the system will

Two bodies of masses $2\ kg$ and $4\ kg$ are moving with velocities $2\ m/s$ and $10\ m/s$ respectively along the same direction. The velocity of their centre of mass will be ......... $m/s$.

$A$ system consists of two particles of masses $m_1$ and $m_2$ separated by a distance $r$. If the particles move towards each other with velocities $v_1$ and $v_2$ respectively,the velocity of the centre of mass of the system is:

If a gas is filled in a stationary sphere,its molecules are in random motion due to thermal energy. Will the center of mass of these molecules be in motion?

Vedclass Test Series

Exam Paper Generator

Online Exam Module