A particle 'P' is moving in a circle of ...

A particle 'P' is moving in a circle of radius 'a' with a uniform speed 'u' 'C' is the centre of the circle and AB is a diameter. The angular velocity of P about A and C are in the ratio

`1:1`

`1:2`

`2:1`

`4:1`

Text Solution

Verified by Experts

The correct Answer is:

From the property of a circle, if an arc subtend an angle `theta` at any point A on circumference, then it will subtend an angle `2 theta` at centre C. So in the same time interval a particle rotating in a circle turn double the angle with respect to centre point C compared to point A.
`:. omega_(c)=2 omega_(A)`.

Topper's Solved these Questions

ROTATION
DC PANDEY ENGLISH|Exercise (B) Chapter Exercises|25 Videos
ROTATION
DC PANDEY ENGLISH|Exercise (C) Chapter Exercises|39 Videos
ROTATION
DC PANDEY ENGLISH|Exercise Check point 9.3|15 Videos
RAY OPTICS
DC PANDEY ENGLISH|Exercise Integer type q.|14 Videos
ROTATIONAL MECHANICS
DC PANDEY ENGLISH|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

A particle P is moving in a circle of radius 'a' with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio

A particle is moving in a circle with uniform speed. IT has constant

The acceleration of an object moving in a circle of radius R with uniform speed v is

When a particle moves in a circle with a uniform speed

A particle is moving in a circle with uniform speed its motion is

A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=(T)/(6) Average velocity of the particle is…..

A article moves in a circle of radius 20 cm with linear speed of 10 m/s. Find the angular velocity

A particle is rotating in circle with uniform speed as shown. The angular momentum of the particle w.r.t. origin is :-

A particle is moving in a circle of radius r with speed v as shown in the figure. The magnitude of change in velocity in moving from P to Q is

DC PANDEY ENGLISH-ROTATION-(A) Chapter Exercises

A heavy particle is projected with a velocity at an angle with the hor...
Text Solution
|
If a sphere of mass m moving with velocity u collides with another ide...
Text Solution
|
A uniform rod of mass 2 kg and length 1 m lies on a smooth horizontal ...
Text Solution
|
A particle 'P' is moving in a circle of radius 'a' with a uniform spee...
Text Solution
|
A uniform round object of mass M, radius R and moment of inertia about...
Text Solution
|
A wheel comprises a ring of radius R and mass M and three spokes of ma...
Text Solution
|
A square is made by joining four rods each of mass M and length L. Its...
Text Solution
|
A solid homogeneous sphere is moving on a rough horizontal surface, pa...
Text Solution
|
A sphere cannot roll on
Text Solution
|
A thin bar of mass m and length l is free to rotate about a fixed hori...
Text Solution
|
A disc is free to rotate about a smooth horizontal axis passing throug...
Text Solution
|
<img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/BMSDPP01...
Text Solution
|
Two identical satellites are moving around the Earth in circular orbit...
Text Solution
|
A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial ...
Text Solution
|
The figure shows a uniform rod lying along the X-axis. The locus of al...
Text Solution
|
A cord is wound around the circumference of wheel of radius r. The axi...
Text Solution
|
A solid sphere rolls without slipping and presses a spring of spring c...
Text Solution
|
Two identical spherical balls, each of mass m, are placed as shown in ...
Text Solution
|
System is shown in the figure. Velocity of sphere A is 9 (m)/(s). Find...
Text Solution
|
Two uniform spheres A (Hollow) and B (solid) of same radius R (<r/2) a...
Text Solution
|