(D) Given: $\theta = 45^\circ$,$r = 0.4\,m$,$g = 10\,m/s^2$.For a conical pendulum,the forces acting on the bob are tension $T$ and weight $mg$.The ho

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

(D) Given: $\theta = 45^\circ$,$r = 0.4\,m$,$g = 10\,m/s^2$.For a conical pendulum,the forces acting on the bob are tension $T$ and weight $mg$.The horizontal component of tension provides the necessary centripetal force:$T \sin \theta = \frac{mv^2}{r} \quad \dots(i)$The vertical component of tension balances the weight:$T \cos \theta = mg \quad \dots(ii)$Dividing equation $(i)$ by $(ii)$:$\tan \theta = \frac{v^2}{rg}$$v^2 = rg \tan \theta$Substituting the given values:$v^2 = 0.4 \times 10 \times \tan(45^\circ)$$v^2 = 4 \times 1 = 4$$v = \sqrt{4} = 2\,m/s$.

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

Difficult

$A$ conical pendulum of length $1\,m$ makes an angle $\theta = 45^\circ$ with respect to the $Z$-axis and moves in a circle in the $XY$ plane. The radius of the circle is $0.4\,m$ and its centre is vertically below $O$. The speed of the pendulum,in its circular path,will be ..... $m/s$ (Take $g = 10\,ms^{-2}$)

JEE MAIN 2017 All JEE MAIN

A
$0.4$
B
$4$
C
$0.2$
D
$2$

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

Previous Year

JEE MAIN 2017 Paper All JEE MAIN years →

$A$ particle of mass $m$ is rotating in a plane in a circular path of radius $r$. Its angular momentum is $L$. The centripetal force acting on the particle is:

Medium

View Solution

$A$ train is moving with a speed of $12 \,m/s$ on rails which are $1.5 \,m$ apart. To negotiate a curve of radius $400 \,m$, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g = 10 \,m/s^2$): (in $\,cm$)

DifficultJEE MAIN 2024

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

Three particles of equal mass are tied to a string and rotated in a horizontal plane as shown. What is the ratio of tensions in the three parts of the string?

Difficult

View Solution

If mass,speed,and radius of the circular path of a particle are increased by $100 \%$,then the necessary force required to maintain the circular path will have to be increased by (in $\%$)

MediumAP EAMCET 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

$A$ particle of mass $m$ is rotating in a plane in a circular path of radius $r$. Its angular momentum is $L$. The centripetal force acting on the particle is:

$A$ train is moving with a speed of $12 \,m/s$ on rails which are $1.5 \,m$ apart. To negotiate a curve of radius $400 \,m$, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g = 10 \,m/s^2$): (in $\,cm$)

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

Three particles of equal mass are tied to a string and rotated in a horizontal plane as shown. What is the ratio of tensions in the three parts of the string?

If mass,speed,and radius of the circular path of a particle are increased by $100 \%$,then the necessary force required to maintain the circular path will have to be increased by (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module