A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
hi
can u help me,please
my question is about the equilibrium:
A cylinder placed so it can roll on a horizontal table top, with its center of gravity BELOW its
geometrical center, is:
A. in stable equilibrium
B. in unstable equilibrium
C. in neutral equilibrium
D. not in equilibrium
E. none of the above
the answer is A !!
how it come ??!!
 one year ago
hi can u help me,please my question is about the equilibrium: A cylinder placed so it can roll on a horizontal table top, with its center of gravity BELOW its geometrical center, is: A. in stable equilibrium B. in unstable equilibrium C. in neutral equilibrium D. not in equilibrium E. none of the above the answer is A !! how it come ??!!

This Question is Closed

Diwakar
 one year ago
Best ResponseYou've already chosen the best response.1When the centre of gravity lies above the geometrical centre,the torque due to weight about the point of contact rotates the cylinder furthur in the direction of the displacement of the geometrical centre, However when the center of gravity lies below the geometrical center, the torque tends to rotate the cylinder back to its initial position i.e. in the direction opposite to the motion of the geometrical center. Hence the first case corresponds to the unstable eqbm and the second one to the stable one. You can either imagine the direction of torques by forming a mental picture or you can sketch the figures and then see. You will easily note what i am trying to say. The entire difference is made by the fact that the points below the geometrical center move in the direction opposite to that of the motion of the geometrical center and those above it move in its direction hence causing the difference in the direction of the torques in the two cases which in turn affects the stability of the system.

fakh2r
 one year ago
Best ResponseYou've already chosen the best response.0is there any equation or principle to determine the direction of the torque??

Diwakar
 one year ago
Best ResponseYou've already chosen the best response.1the right hand screw rule from position vector to the force vector.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.