A car is moving on a circular horizontal trac | vedclass

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

Question

(A) Radius of circular track,$r = 10 \,m$. Speed of car,$v = 10 \,m/s$. Acceleration due to gravity,$g = 10 \,m/s^2$.In the frame of the car,the bob e

Vedclass · Accepted Answer

$\frac{\pi}{4}$

Vedclass · Answer

(A) Radius of circular track,$r = 10 \,m$. Speed of car,$v = 10 \,m/s$. Acceleration due to gravity,$g = 10 \,m/s^2$.In the frame of the car,the bob experiences a pseudo force $\frac{mv^2}{r}$ acting horizontally outwards.The forces acting on the bob are:$1$. Tension $T$ in the wire.$2$. Weight $mg$ acting vertically downwards.$3$. Pseudo force $\frac{mv^2}{r}$ acting horizontally.For equilibrium in the car's frame:$T \sin 	heta = \frac{mv^2}{r}$ $(i)$$T \cos 	heta = mg$ (ii)Dividing equation $(i)$ by equation (ii):$	an 	heta = \frac{v^2}{rg} = \frac{10^2}{10 	imes 10} = \frac{100}{100} = 1$.Since $	an 	heta = 1$,$	heta = 45^{\circ}$.Converting to radians: $	heta = 45^{\circ} 	imes \frac{\pi}{180^{\circ}} = \frac{\pi}{4} \,rad$.

$A$ car is moving on a circular horizontal track of radius $10 \,m$ with a constant speed of $10 \,m/s$. $A$ bob is suspended from the roof of the car by a light wire of length $1.0 \,m$. The angle made by the wire with the vertical is (in rad)

Similar Questions

$A$ man weighing $75 \,kg$ is standing in a lift. The weight of the man standing on a weighing machine kept in the lift when the lift is moving downwards freely under gravity is

$A$ simple pendulum is attached to a block which slides without friction down an inclined plane $ABC$ having an angle of inclination $\alpha$ as shown below. While the block is sliding down,the pendulum oscillates in such a way that at its mean position,the direction of the string is

Select the correct statement regarding pseudo force.

In the figure,the reading of the spring balance will be $......\,N$ $\left[ g = 10\,m/s^2 \right]$.

If a trolley accelerates horizontally with acceleration $a$,then the bob is displaced backward from its initial vertical position. The angular deflection of the bob in equilibrium is ..........

Vedclass Test Series

Exam Paper Generator

Online Exam Module