Problem 3. The weightless bar AB is supported by a rope that passes over a frictionless pulley at C and a fixed peg at D. If the coefficient of static friction between the rope and the peg is µo = 0.3, determine the smallest distance x from the end of the bar at which a 20-N force may be placed and not cause the bar to move. D 20 N B.

EXERCISE 2.34 The cable, whose length is 300 mm, is fastened to the 500-g block. Clockwise rotation of the arm at a constant angular speed of 5 rad/s causes the block to slide outward. The motion occurs in the vertical plane, and the coefficient of sliding friction is 0.4. Determine the tensile force in the cable and the force exerted by the block on the walls of the groove when = 53.1301⁰. 300 mm -300 mm- (Hint: use polar coordinates to solve the problem. R is from the rotation center of the arm to the block and is as shown in the Figure. Let L be the total length of the cable and S be the length from the clamped end of the cable to the end of the arm.)

For the given set up, the two cylinders on the left and right are movable horizontally, while the cylinder in the middle is fixed. Determine the distance a so that the system is in equilibrium and the tension T2 is equal to 2.5 N and T₁ is equal to 2.0 N. The radius of the three cylinders is equal to 20 mm, while the coefficient of friction between the cylinder and the rope (u) is 0.1529. T₁ T₂ a B

A 150-lb block rests on a horizontal floor. The coefficient of friction between the block and the floor is 0.30. A pull of 40 lb, acting upward at an angle of 30° to the horizontal, is applied to the block. Determine whether or not the block will slide. - Draw Free-body diagram  - Solve most simple way  - use the formula Fmax= Ms (N)