In: Physics
Consider the situation in the picture. The ropes in (Figure 1) are each wrapped around a cylinder, and the two cylinders are fastened together. The smaller cylinder has a diameter of 10 cm and a mass of 6.0 kg ; the larger cylinder has a diameter of 20 cm and a mass of 17 kg . The cylinders rotate together on a frictionless axis, and their respective ropes move with them without slipping.
a. Explain the relationship between the 4.0 kg block's acceleration, the 2.5-kg block's acceleration, and the rotational acceleration of the two cylinders.
b. Write an expression for the sum of torques below, explaining your work. For this part, you don't have to solve anything yet, just write the expression. (Do the best you can within the limits of the text.)
c. Should your expression in part b) be equal to zero? Explain.
d. Calculate the angular acceleration of the cylinders.