A car goes on horizontal circular road of radius $4 \mathrm{m}.$ The speed of car is increasing at a constant rate of $3 \mathrm{m} {\mathrm{s}}^{-2}.$ The friction coefficient between road and tyre is $0.5.$ Find the speed at which the car will skid.

A uniform rod is held at rest against a rough wall and a rough floor. Which of the following represents correct free body diagram of rod? (All standard symbols used)

Force is applied on an object of mass $2 \mathrm{kg}$ at rest on a frictionless horizontal surface as shown in the graph. The speed of object at $t=1 \mathrm{s}$ will be

A block of mass $5 \mathrm{kg}$ is placed on a smooth table and tied from both ends by two masses $3 \mathrm{kg}$ and $2 \mathrm{kg}$ by means of light, inextensible strings passing through pulleys as shown. The tension in the string connecting $5 \mathrm{kg}$ and $3 \mathrm{kg}$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A block is placed on a smooth inclined plane as shown. For what value of horizontal force $F,$ the block will remain at rest?

Figure shows a small ball of mass $m$ held at rest by means of two light and inextensible strings. The tensions in the inclined string at the instant shown and just after cutting the horizontal string are respectively

In the arrangement shown, what is the normal reaction between the block $A$ (mass $=5 \mathrm{kg}$ ) and ground?