Two bodies of equal masses revolve in circular orbits of radii {R₁} and {R₂} with same period. T

English

Gujarati

Hindi

3-2.Motion in Plane

easy

Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio

A${\left( {\frac{{{R_2}}}{{{R_1}}}} \right)^2}$

B$\frac{{{R_1}}}{{{R_2}}}$

C${\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^2}$

D$\sqrt {{R_1}{R_2}} $

Solution

(b) $F = m\left( {\frac{{4{\pi ^2}}}{{{T^2}}}} \right)R$. If masses and time periods are same then $F \propto R$
$\therefore {F_1}/{F_2} = {R_1}/{R_2}$

Standard 11

Physics

The net applied force on a body in uniform circular motion should always be

easy

A mass of $2 \,kg$ is whirled in a horizontal circle by means of a string at an initial speed of $5$ revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly ……. $rpm$

easy

A car is moving on an overbridge of radius $R$ with a constant speed $v$. As the car is descending on the overbridge from point $B$ to $C,$ the normal reaction on it due to bridge

medium

The ratio of period of oscillation of the conical pendulum to that of the simple pendulum is : (Assume the strings are of the same length in the two cases and $\theta$ is the angle made by the string with the verticla in case of conical pendulum)

normal

A string of length $0.1\,m$ cannot bear a tension more than $100\,N$. It is tied to a body of mass $100\,g$ and rotated in a horizontal circle. The maximum angular velocity can be ………. $rad/sec$

medium

Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio

Solution

Similar Questions

The net applied force on a body in uniform circular motion should always be

A mass of $2 \,kg$ is whirled in a horizontal circle by means of a string at an initial speed of $5$ revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly ……. $rpm$

A car is moving on an overbridge of radius $R$ with a constant speed $v$. As the car is descending on the overbridge from point $B$ to $C,$ the normal reaction on it due to bridge

The ratio of period of oscillation of the conical pendulum to that of the simple pendulum is : (Assume the strings are of the same length in the two cases and $\theta$ is the angle made by the string with the verticla in case of conical pendulum)

A string of length $0.1\,m$ cannot bear a tension more than $100\,N$. It is tied to a body of mass $100\,g$ and rotated in a horizontal circle. The maximum angular velocity can be ………. $rad/sec$

Start a Free Trial Now