1) Block B in Fig. 6-31 weighs 603 N. The coefficient of static friction between block and table is 0.32; angle θ is 33°; assume that the cord between B and the knot is horizontal. Find the maximum weight of block A for which the system will be stationary.
2) In Fig. 6-33, two blocks are connected over a pulley. The mass of block A is 7.8 kg and the coefficient of kinetic friction between A and the incline is 0.13. Angle θ of the incline is 44°. Block A slides down the incline at constant speed. What is the mass of block B?
3) In the figure here, block 1 of mass 2.0 kg and block 2 of mass 2.9 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at θ = 20 ˚. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.28. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string?
4) A wheel has a constant angular acceleration of 2.5 rad/s2. During a certain 5.0 s interval, it turns through an angle of 67 rad. Assuming that the wheel started from rest, how long had it been in motion before the start of the 5.0 s interval? A)3.86 s
5) A diver makes 2.5 revolutions on the way from a 8.5-m-high platform to the water. Assuming zero initial vertical velocity, find the diver's average angular velocity during a dive. A)11.99 rad/s
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