A pair of wedges is used to lift a crate as shown in The crate weighs 3000 N, the wedge angle 0 is 15°, and the coefficient of friction is 0.25 at all surfaces. The Fig. weight of the wedges is negligible. Determine The force P necessary to remove the wedge W
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- A wedge is used to prop up the 6000-lb block of marble. The wedge angle is =30, and the angle of static friction is s=12 between all contact surfaces. Determine the smallest force P that would prevent the wedge from sliding out.Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD?The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.
- A 1.1-kg disk A is placed on the inclined surface. The coefficient of static friction between the disk and the surface is 0.35. Is the disk in equilibrium if P=5.5N and =30?The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.The cone clutch transmits the torque C through a conical friction surface with cone angle . The inner and outer radii of the friction surface are a and b, respectively. The left half of the clutch is keyed to the shaft, and the right half drives a machine (not shown) through a gear attached to its outer rim. Assuming uniform pressure on the friction surface, show that the maximum torque that can be transmitted by the clutch is
- The blocks A and B of weights WA and WB are joined by a rope that passes over the fixed peg C. The coefficients of static friction are =0.2 between block A and the inclined plane, and =0.25 between the rope and the peg. Determine the range of Wb/WA for which the system will be in equilibrium.The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.Determine the smallest coefficient of static friction at A for which the system shown is self-locking (can support the force P of any magnitude). Neglect the weight of bar AB.
- Two blocks A and B weighing 3 kN and 15 kN, respectively, are held in position against an inclined plane by applying a horizontal force P as shown in Fig. Find the least value of P which will induce motion of the block A upwards. Angle of friction for all contact surfaces is 12°.7.Two block A and B are connected by a rope which wraps areound a peg with static coefficient of friction of 0.2. The block B weight 50-lb and is subjected to a 35-Ib force as shown. The static coefficient of friction for the contact surface between the block and the gound is 0.4. Find the range of weight of block B for no motion( Hint: no motions no sliding and no tipping).A box of mass m = 30 kg is at rest on a ramp inclinedat 50° to the horizontal. The coefficients of friction between the box and the ramp are mS = 0.80 and mK = 0.70. Determine the magnitude of the largest force that can be applied upward, parallel to the ramp, if the box is to remain at rest.