(C) Let $m = 0.1 \ kg$ be the mass of the sleeve,$R = 5 \ m$ be the radius,and $\omega = 2 \ rad/s$ be the angular velocity.For the sleeve to be in eq

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

(C) Let $m = 0.1 \ kg$ be the mass of the sleeve,$R = 5 \ m$ be the radius,and $\omega = 2 \ rad/s$ be the angular velocity.For the sleeve to be in equilibrium relative to the rotating frame,the forces acting on it are gravity ($mg$ downwards) and the normal force $(N)$ from the wire.The horizontal component of the normal force provides the centripetal acceleration: $N \sin \theta = m \omega^2 (R \sin \theta)$.Since $\sin \theta \neq 0$ (not at top or bottom),we can cancel $\sin \theta$ to get $N = m \omega^2 R$.Substituting the values: $N = (0.1 \ kg) \times (2 \ rad/s)^2 \times (5 \ m) = 0.1 \times 4 \times 5 = 2.0 \ N$.

Class 11 Physics 3-2.Motion in Plane Dynamics of circular Motion (Centrifugal force) and Pendulum and Motion on Curved path

Medium

$A$ small $100 \ g$ sleeve $B$ can slide on a smooth,circular and rigid wire frame $A$ of radius $5 \ m$ placed in a vertical plane. The wire frame is rotating about its vertical diameter at $2 \ rad/s$. When the sleeve is brought to a particular angular position $\theta$ (measured from the vertical downward axis) other than the bottom and the top of the ring,the sleeve will not slide on the wire frame. Calculate the normal force $N$ (in Newtons) of interaction between the sleeve and the wire frame at this position.

A
$0.5$
B
$1.0$
C
$2.0$
D
$4.0$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

3-2.Motion in Plane

Subtopic

Dynamics of circular Motion (Centrifugal force) and Pendulum and Motion on Curved path

$A$ block of $200\, g$ mass moves with a uniform speed in a horizontal circular groove,with vertical side walls of radius $20\, cm$. If the block takes $40\, s$ to complete one round,the normal force by the side walls of the groove is

DifficultJEE MAIN 2021

View Solution

$A$ cyclist riding a bicycle at a speed of $14\sqrt{3} \text{ m/s}$ takes a turn around a circular road of radius $20\sqrt{3} \text{ m}$ without skidding. Given $g = 9.8 \text{ m/s}^2$,what is his inclination to the vertical in degrees?

Medium

View Solution

As shown in the figure, two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed $u$. After some time :-

Medium

View Solution

$A$ vehicle is moving on a track with constant speed as shown in the figure. The apparent weight of the vehicle is:

Easy

View Solution

$A$ particle rotates in a horizontal circle of radius $r$ in a conical funnel with speed $v$. The inner surface of the funnel is smooth. The height $h$ of the plane of the circle from the vertex of the funnel is (where $g$ is the acceleration due to gravity):

EasyMHT CET 2020

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$A$ block of $200\, g$ mass moves with a uniform speed in a horizontal circular groove,with vertical side walls of radius $20\, cm$. If the block takes $40\, s$ to complete one round,the normal force by the side walls of the groove is

$A$ cyclist riding a bicycle at a speed of $14\sqrt{3} \text{ m/s}$ takes a turn around a circular road of radius $20\sqrt{3} \text{ m}$ without skidding. Given $g = 9.8 \text{ m/s}^2$,what is his inclination to the vertical in degrees?

As shown in the figure, two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed $u$. After some time :-

$A$ vehicle is moving on a track with constant speed as shown in the figure. The apparent weight of the vehicle is:

$A$ particle rotates in a horizontal circle of radius $r$ in a conical funnel with speed $v$. The inner surface of the funnel is smooth. The height $h$ of the plane of the circle from the vertex of the funnel is (where $g$ is the acceleration due to gravity):

Vedclass Test Series

Exam Paper Generator

Online Exam Module