Class 11PhysicsSystem of Particles and Rotational MotionMix Example - System of Particles and Rotational Motion
MediumState whether the following statements are true or false:
$(1)$ Torque produces angular velocity in an object.
$(2)$ For the rotational motion of a rigid body,the linear variables of all its particles are the same.
$(1)$ Torque produces angular velocity in an object.
$(2)$ For the rotational motion of a rigid body,the linear variables of all its particles are the same.
(N/A) $(1)$ False. Torque produces angular acceleration,not angular velocity.
$(2)$ False. In the rotational motion of a rigid body,all particles have the same angular variables (angular displacement,angular velocity,and angular acceleration),but their linear variables (linear displacement,linear velocity,and linear acceleration) differ depending on their distance from the axis of rotation.
$(2)$ False. In the rotational motion of a rigid body,all particles have the same angular variables (angular displacement,angular velocity,and angular acceleration),but their linear variables (linear displacement,linear velocity,and linear acceleration) differ depending on their distance from the axis of rotation.
Explore More
Similar Questions
The graph between angular momentum $L$ and angular velocity $\omega$ is:
Easy
View Solution$A$ solid sphere rotates about a vertical axis on a frictionless bearing. $A$ massless cord passes around the equator of the sphere,then passes over a solid cylinder,and is then connected to a block of mass $M$ as shown in the figure. If the system is released from rest,then the speed acquired by the block after it has fallen through a distance $h$ is
Difficult
View Solution$A$ meter stick is held vertically with one end on the floor and is allowed to fall. The speed of the other end when it hits the floor,assuming that the end at the floor does not slip,is ......... $m/s$ $(g = 9.8 \, m/s^2)$.
Medium
View Solution$Assertion :$ $A$ hollow shaft is found to be stronger than a solid shaft made of the same material and having the same mass per unit length.
$Reason :$ The torque required to produce a given twist in a hollow cylinder is greater than that required to twist a solid cylinder of the same length and material.
$Reason :$ The torque required to produce a given twist in a hollow cylinder is greater than that required to twist a solid cylinder of the same length and material.
MediumAIIMS 2016
View Solution$A$ thin hollow cylinder open at both ends is moving with the same speed $v$ in two different cases:
$(i)$ It slides without rotating.
$(ii)$ It rolls without slipping.
Find the ratio of the kinetic energies in the two cases.
$(i)$ It slides without rotating.
$(ii)$ It rolls without slipping.
Find the ratio of the kinetic energies in the two cases.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo