Mass m1 is connected by a string through a hole in the table to a hanging mass m2. Mass m1 slides in a circle on the table with just enough speed that m2 doesn't fall. Which is the correct free body diagram for mass m1 on the table?
Question
Mass m1 is connected by a string through a hole in the table to a hanging mass m2. Mass m1 slides in a circle on the table with just enough speed that m2 doesn't fall. Which is the correct free body diagram for mass m1 on the table?
Solution
The free body diagram for mass m1 on the table would include the following forces:
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Gravitational force (mg) acting downwards. This is the force due to the weight of the mass.
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Tension force (T) acting towards the hole in the table. This is the force exerted by the string on the mass.
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Centripetal force (mv^2/r) acting towards the center of the circle. This is the net force required to keep the mass moving in a circular path.
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There is no friction force acting on the mass because it is mentioned that the mass slides on the table.
So, the correct free body diagram would show the gravitational force acting downwards, the tension force acting towards the hole in the table, and the centripetal force acting towards the center of the circle.
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