Conservation of energya stone of mass m 02 kg is connected, Ask an Expert

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Conservation of energy

A stone of mass m = 0.2 kg is connected to a string of length 1 = 1 in, and it is spinning in a vertical circle. Don't ignore the presence of the gravitational force.

434_A Stine is Connected to a String.jpg

a. What is the symbolic expression of the total energy of the stone at any point of the trajectory? Use in, g, l, θ, v_T to express your result.

b. Calculate the minimum value of the tangential velocity at the top needed to stay in a circular trajectory.

c. Making use of the result of the previous question, use conservation of energy to find the tangential speed of the stone at the bottom.

d. What is the work done by the force of gravity between point A and B? (see picture). What is the work done by the force of gravity between point B and C?

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