badge image

Enroll For Free Now & Improve your performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 11

                        

Describe qualitatively what happens to the system of Fig. if the disk is given an initial clockwise angular velocity as it is released. What changes, if any, occur in the linear acceleration of the block, or the angular acceleration of the disk? See Sample Problem 9-10.

5 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
							The figure below shows the system containing the disk and block. Assume that the initial clockwise angular velocity of the disk is ω .

236-1072_1.PNG
The upward linear velocity of the block is given as:
v = Rω
Therefore the block initially move upwards with velocity v, however, the forces on the block accelerates the disk lately.
It is important to note that the block does not experiences any initial acceleration from the disk and any change in velocity appears because of the forces experienced by the block. Therefore, the acceleration of the block can be written using the free body diagram given below as:
236-1401_1.PNG
a = mg – T, a
Here mg is the weight of the block, T is the tension in the string and a is the linear acceleration of the block.
Also, the tension in the string provides the angular acceleration to the disk, which can be written using the free body diagram of given below as:

236-2414_1.PNG
236-1083_1.PNG
Here I is the moment of inertia of the disk, and a is its angular acceleration.
One can see from the equations above that the terms involved are similar to what there were in sample problem 9-10. Therefore there will be no change in the linear acceleration of the block and the angular acceleration of the disk.
5 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details