The 50-kg block rests on the horizontal surface, and a force P = 200 N, whose direction can be varied, is applied to the block. If the block begins to slip when e is reduced to 30°, calculate the coefficient of static friction μs between the block and the surface. P Ө 50 kg Hs

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High-strength bolts are used in the construction of many steel structures. For a 1-in.- nominal-diameter bolt, the required minimum bolt tension is 51 kips. Assuming the coefficient of friction to be 0.30, determine the required couple that should be applied to the bolt and nut. The mean diameter of the thread is 0.94 in., and the lead is 0.125 in. Neglect friction between the nut and washer, and assume the bolt to be square-threaded. You must show a free body diagram of your block and incline analysis of the bolt and nut, and clearly indicate your force triangle, if any.

4.) A flat belt makes contact with an 16 in. diameter pulley through half its circumference. If the coefficient of friction is 0.45 , and a torque of300ft−bsis to be transmitted, calculate the belt tensions. (please type answer not write by hend)

The band brake of Fig. is used to control the rotation of a drum. The coefficient of friction between the belt and the 36° V-pulley is 0.15, and the weight of the han- dle is 15 N. If a force of 200 N is aPplied to the end of the handle, determine the maximum torque for which no mo- tion occurs if the torque is applied Counterclockwise. 150 mm T 200 N 60 150 mmi 675 mm 75 mm

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The uniform concrete block in (Figure 1) has a weight of 300 lb. The coefficients of static friction are μA = 0.2, μB = 0.3, and between the concrete block and the floor, μ = 0.4.  A) Determine the smallest couple moment that can be applied to the 180-lb wheel that will cause impending motion. Express your answer to three significant figures and include the appropriate units.

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4.As shown in the figure, a square threaded screw is used in a vise to exert a pressure of 2 tons. If the screw is double-threaded and has a pitch of 0.25 m and a mean radius of 1.5 inch, determine the torque that must be applied at B to create this pressure. Assume the coefficient of friction to be 0.15. P

Please provide the correct solution, and include free body diagram.