
Javier C.
asked 09/17/21How to calculate T and linear speed?
An object of mass= 0.145kg undergoes uniform circular motion. It is connected by a massless string through a hole in a frictionless table to a larger object of mass=0.215kg. Assuming the larger object is stationary, calculate the tension in the string and the linear speed of the circular motion of the smaller object on the table. Assume that the radius of the circular path of the smaller object is equal to.
1 Expert Answer
Christopher B. answered 09/18/21
Experienced Physics Teacher/Tutor with Engineering Background
This is strange to picture, but here's what I can offer:
- The tension in the string must equal the weight of the larger, stationary mass. The net force has to be 0 and the only forces are the block's weight pulling down and the tension pulling it up.
- So T = Fg = mg = 0.215*g
- Since this is a friction-less table, the only relevant force on the smaller block is the Tension in the string. The block's weight is cancelled by the normal force from the table.
- This Tension in the string is thus the net force on the smaller block, and, since the object is moving circularly, we can also call this the centripetal force.
- T = Fc
- Fc = m * v2 / R
- Use your T value from earlier, and whatever "R" value is given at the end to find the speed of the smaller object's circular motion. If they somehow didn't give you a number for that, then we have some more thinking to do.
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Christopher B.
09/17/21