BM Sharma Solutions for Chapter: Newton's Laws of Motion II, Exercise 6: DPP

A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with the speed of $0.5 \mathrm{m} {\mathrm{s}}^{-1}$. What is the height of the plane of the circle from the vertex of the funnel?

A particle is moving in a vertical circle with constant speed. The tensions in the string when passing through two positions at angles $30°$ and $60°$ from vertical (lowest position) are $T_1$ and $T_2$ respectively. Then:

Two spheres of equal masses are attached to a string of length $2 \mathrm{m}$ as shown in figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant rate. What is the value of the ratio of the tension in the string between $P$ and $Q$ with the tension in the string between $P$ and $O$?

The maximum and minimum tension in the string whirling in a vertical circle of radius $2.5 \mathrm{m}$ with constant speed are in the ratio $5:3$, then, it's speed is

A string of length $L$ is fixed at one end and carries a mass $M$ at the other end. The string makes $2/\pi$  revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is:

A small mass of $10 \mathrm{gm}$ lies in a hemispherical bowl of radius $0.5 \mathrm{m}$ at a height of $0.1 \mathrm{m}$ from the bottom of the bowl. The mass will be in equilibrium if the bowl rotates at an angular speed of

A car of mass $M$ is moving on a horizontal circular path of radius $R$. At an instant its speed is $v$ and is increasing at a constant rate $\text{β}.$

A body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same, then, which of the following statements is true?