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Is a body in uniform circular motion in equilibrium?
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Is a body in uniform circular motion in equilibrium?

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Book:

Mechanics Volume 1 (DC Pandey)

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Hence, particle is not in equilibrium.
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Practice questions from Mechanics Volume 1 (DC Pandey)

Question 1
Medium
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Views: 5,946

A collar of mass is constrained to move along a horizontal smooth and fixed circular track of radius . The spring lying in the plane of the circular track and having spring constant is undeformed when the collar is at . If the collar starts from rest at , the normal reaction exerted by the track on the collar when it passes through is

Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Mechanics Volume 1 (DC Pandey)

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Question 2
Medium
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Views: 5,963

A rough horizontal plate rotates with angular velocity about a fixed vertical axis. A particle of mass lies on the plate at a distance from this axis. The coefficient of friction between the plate and the particle is . The largest value of for which the particle will continue to be at rest on the revolving plate is






Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Mechanics Volume 1 (DC Pandey)

View solution

Question 3
Hard
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Views: 5,312

A particle is moving in a circle of radius in such a way that at any instant the normal and tangential component of its acceleration are equal. If its speed at is . The time taken to complete the first revolution is






Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Mechanics Volume 1 (DC Pandey)

View 2 solutions

Question 4
Medium
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Views: 6,169

Figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius at a given instant of time. At this instant, find :

(a) the radial acceleration,
(b) the speed of the particle and
(c) its tangential acceleration.
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Mechanics Volume 1 (DC Pandey)

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Practice more questions from System of Particles and Rotational Motion

Question 1
Medium
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Separation of Motion of a system of particles into motion of the centre of mass and motion about the centre of mass : 
(a) Show
where  is the momentum of the th particle (of mass ) and . Note  is the velocity of the th particle relative to the centre of mass. 
Also, prove using the definition of the center of mass
(b) Show
where  is the total kinetic energy of the system of particles,  is the total kinetic energy of the system when the particle velocities are taken with respect to the centre of mass and is the kinetic energy of the translation of the system as a whole (i.e. of the centre of mass motion of the system). The result has been used in Sec. 7.14. 
(c) Show
where  is the angular momentum of the system about the centre of mass with velocities taken relative to the centre of mass. Remember ; rest of the notation is the standard notation used in the chapter. Note  and  can be said to be angular momenta, respectively, about and of the centre of mass of the system of particles.
(d) Show
Further, show that 

where  is the sum of all external torques acting on the system about the centre of mass.
(Hint : Use the definition of centre of mass and Newtons Third Law. Assume the internal forces between any two particles act along the line joining the particles.)
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics Part-I (NCERT)

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Question 2
Easy
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Views: 5,246

A body moving towards a finite body at rest collides with it. It is possible that :
  1. Both the bodies come to rest
  2. Both the bodies move after collision
  3. The moving body comes to rest and the stationary body starts moving
  4. The stationary body remains stationary, the moving body changes its velocity.
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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Question 3
Medium
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Views: 5,832

Particle moves on a circle of radius and another particle moves along a tangent to the circle. Both particles were initially at point and moves with a uniform velocity . A moves such that the line joining to always passes through the centre of the circle. Calculate acceleration of as a function of (see figure).
Topic

Topic:

System of Particles and Rotational Motion

Book

Book:

Physics for JEE Main and Advanced Mechanics 1 (McGraw Hill)

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Question 4
Medium
Views

Views: 5,930

From a complete ring of mass and radius , a sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is
Topic

Topic:

System of Particles and Rotational Motion

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Question Text
Is a body in uniform circular motion in equilibrium?
TopicSystem of Particles and Rotational Motion
SubjectPhysics
ClassClass 11
Answer TypeText solution:1
Upvotes104