Embibe Experts Solutions for Exercise 11: Assignment

In the arrangement shown, the pulleys are massless and frictionless. The rope connected to the block is also light and inextensible. The system is in equilibrium. Select the correct alternative.

A block of mass $m$ is connected with another block of mass $2m$ by a light spring. $2m$ is connected with a hanging mass $3m$ by an inextensible light string. At the time of release of block $3m$

The two arrangement of identical frictionless and massless pulleys, string and blocks are shown in figure (a) and figure (b). Which of the following statement(s) is/are correct?

A small block of mass $m$ is placed at one end of a plank of mass $M$ and length $l.$ A force $F$ is applied at the other end as shown in figure. If there is no friction at any contact surfaces, then

Pulleys and threads shown in the figure are ideal

A block of mass $m$ slides down a rough inclined plane with an acceleration $\frac{g}{2}$

At $t=0,$ a small body is projected with a velocity of $30 \mathrm{m} {\mathrm{s}}^{–1},$ on a rough horizontal surface. The coefficient of friction $\left(\mu \right)$ between the surfaces, changes with time $t$ as the body moves along the surface through different points as shown in graph $\left(g=10 \mathrm{m} {\mathrm{s}}^{–2}\right).$ Select the correct alternative.

Figure shows a block of mass $m$ resting on a plank of mass $M,$ placed on a smooth horizontal surface. The coefficient of friction between the block and plank is $\mu .$ A horizontal force $F$ is applied on the plank which varies with time $t$ as $F=kt$ ($k$ is a positive constant). Select the correct alternative.