1. Determine the applied torque at each distance (make sure to use the correct d

Question

1. Determine the applied torque at each distance (make sure to use the correct distance!) to complete the above table. Comment on your results.

2. Write an expression equating the torque applied by the spring scale and the mass. Rearrange this to create an expression for the applied force F in terms of R1, R2, the total mass m, and g.

Also can someone explain to me how to solve for the last two columns.

Determine the applied torque at each distance (make sure to use the correct distance!) to complete the above table. Comment on your results. Write an expression equating the torque applied by the spring scale and the mass. Rearrange this to create an expression for the applied force F in terms of R1, R2, the total mass m, and g.

Explanation / Answer

the torque is

T = F x (R2 - R1)

where F is force and R2 and R1 are the distances

the spring force is

F = k x d

where k is spring constant and d is distance by which spring is compressed

the kinetic energy of the spring is

K = (1/2)k x d^2

here,T = K

or F x (R2 - R1) = (1/2)k x d^2

or F = (1/2(R2 - R1))k x d^2

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