Assignment - Chapter 6 - Engineering Mechanics

Description: Problem 1.
The 10-kg solid cylinder is resting in the inclined V-block. If the coefficient of static friction
between the cylinder and the block is 0.50, determine (a) the friction force 𝐹 acting on the cylinder
at each side before force 𝑃 is applied and (b) the value of 𝑃 required to start sliding the cylinder
up the incline.

Problem 2.
Determine the torque 𝑀 which must be applied to the handle of the screw to begin moving the
100-lb block up the incline. The coefficient of static friction between the block and the incline is
0.50, and the single-thread screw has square threads with a mean diameter of 1 in. and advances
0.4 in. for each complete turn. The coefficient of static friction for the threads is also 0.50. Neglect
friction at the small ball joint 𝐴

Problem 3.
Determine the tension 𝑇 in the cable to raise the 800-kg load if the coefficient of friction for the
30-mm bearing is 0.25. Also find the tension in the stationary section of the cable. The mass of the
cable and pulley is small and may be neglected.

Problem 4.
The vertical consists of a frame, three fixed 8-in.- diameter drums, and six small guide wheels with
a combined weight of 50 lb. Determine the minimum weight 𝑊 necessary to hold the trolley in
equilibrium for any position in its vertical guides. The coefficient of friction between the light
cable and the drums is 0.30

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