5.70. Set Up:The tension everywhere along the cable connected to the mass is W, the weight of W. The free-bodydiagram for the head is given in Figure 5.70a and for one of the lower pulleys in Figure 5.70b. Each objecthas Figure 5.70Solve: (a)applied to the head gives and applied to the pulley gives Combining these two equations gives The mass of W should be (b)If the head moves to the right,Thas a component to the left that pulls the head back to the vertical.5.71. Set Up:for both objects. The tension in the vertical wire is w. Apply to the knot where thewires are joined and then to block A. The static friction force on block Awill be whatever is required to keep block Aat rest.Solve:The free-body diagram for the knot is given in Figure 5.71a. gives gives and The free-body diagram for block
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