Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9321924448 / 9987178554

Mon to Sat - 10 AM to 7 PM

A cylinder of height h is placed on an inclined plane it just begins to slide on increasing angle of 45degrees what is the radius of the cylinder

Asked by sandhyamsani 20th March 2017, 7:33 PM
Answered by Expert
Answer:

  • The force of friction 'f' is the force that is responsible for producing the translatory equilibrium (the state of equilibrium in which the motion changes dynamically).
  • But it also produces a torque which tries to overturn the block=begin mathsize 12px style straight f straight h over 2 end style
  • The restoring torque due to normal reaction 'N' opposes this through a distance 'x'.
  • Therefore, for 'no overturning of the cylinder' is straight f straight h over 2 equals Nx
  • As the angle of inclination of surface increases, the friction also increases but the normal reaction (N) decreases.
  • Due to the decrease in normal reaction, the chances of overturning increases.

  • To counterbalance the overturning, N has to shift up to an extreme level of x=r, where r is the radius of the given cylinder.
  • Therefore for 'just' no overturning.begin mathsize 12px style straight f straight h over 2 equals straight N cross times straight r end style
  • This condition is only possible at angle=45 degree.
  • As,begin mathsize 12px style straight theta equals 45 to the power of straight o comma space cos space straight theta equals Sin space straight theta end style f (f= mg Sinbegin mathsize 12px style straight theta end style)=N (mg Sinbegin mathsize 12px style straight theta end style), thus begin mathsize 12px style straight h equals straight r over 2 end style.
Answered by Expert 21st March 2017, 5:56 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer 10/10

Your answer has been posted successfully!

Free related questions

Chat with us on WhatsApp