PROBLEM 1: Two blocks A and B, each having a mass of 5 kg, are connected by the linkage shown in the figure. If the coefficient of static friction at the contacting surfaces is μ = 0.50, determine the largest force P, in N, that can be applied to pin C of the linkage: (a) without causing movement of block A; (b) without causing movement of block B; and (c) without causing movement to both blocks A and B. P 30° C 30° A 30°
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- The two homogeneous bars AB and BC are connected with a pin at B and placed between rough vertical walls. If the coefficient of static friction between each bar and the wall is 0.25, determine the largest angle 6 for which the assembly will remain at rest.The 3600-lb car with rear Wheel drive is attempting to tow the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide.The single-threaded screw of the floor jack has a pitch of 0.5 in. and a mean radius of 1.75 in. The angle of static friction is 8.5. (a) Determine the couple C that must be applied to the screw to start lifting a weight of 4000 lb. (b) What is the couple required to start lowering the weight?
- A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.The 320-lb homogeneous spool is placed on the inclined surface. Determine the vertical force P that is required to keep the spool in the position shown. Assume that there is enough friction to prevent slipping at A.Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.