mogenous bar A having a mass of 18 kg is 2 m long and is inclined at 60 degrees with the horizontal plane. The mass M of 7 kg is connected by the rope to the bar. The rope leaving the bar is horizontal. The coefficient of friction between the rope and the drum B is 0.20. What is the minimum coefficient of friction between the bar and the plane for equilibrium? Give solution. (Ans. coefficient of friction = 0.284)

A heavy cask (full of wine!) sits on an inclined plane. It is held in place by a rope that is attached to the cask and to a hook further up the inclined plane (at A). The rope comes off of the cask tangent to the cask. The mass of the cask is 40 kg, and the coefficient of static friction between the inclined plane and the cask is 0.25. What is the maximum value of 0 just before the cask begins to slip? Also, what is the tension in the rope when slipping is impending? Finally, if the inclined plane became icy, and the rope didn't break as the cask slipped, what would be remarkable about the lines of action of the W, N and T force vectors once equilibrium was re-established? 0.70 m 40

Question 2 frictionless The Figure for Question 2 shows a uniform bar AB that weighs 500 N and a block C that weighs 300 N. The bar is 10 m long. The friction between the bar and the wall at A is negligible, while the coefficient of static friction between the bar and block C is 0.5, and the coefficient of static friction between A 10 m block C and the ground is 0.15. Can the system in the figure be in static equilibrium in the position shown? Show all work used to justify your answer. Hs=0.5B 60° C Hg= 0.15. %3D Figure for Question 2

The crate has a weight of W = 350 lb and the %3D coefficient of static Friction between the crate and the ground is µs = 0.3. If the angle %3D e = 45° and P = 100 lb, the normal force 'N' exerted on the crate is. Select one: a. 83.79-lb b. 70.71-lb С. О d. 279.29-lb

The uniform bar and the homogeneous cylinder each have a mass of 24 kg. The static coefficient of friction is μs at A, B, and C (the three points of contact). (a) Assuming equilibrium, calculate the normal and friction forces at A,B and C. (b) What is the smallest value of μs necessary for wquilibrium?

AB and BC bars which are connected at pin B, each having a mass of 100 kg, as shown in the figure. If the coefficient static friction at piont C is 0.5 , determine the maximum value of force P for the system to be in static equilibrium.

O Week6 Friction_21-22.pdf ds/Week6_Friction_21-22.pdf 4. The mine car and its contents have a total mass of 6000kg and a centre of gravity at G. If the coefficient of static friction 10 kN Doo→ between the wheels and the 0.9 m • G tracks is u = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear /0.15 m A 0.6 m 1.5 m- wheels at A when the brakes at both A and B are locked. Does the car move? [Ans. NA = 16.5 kN, Ng =42.3 kN, the car does not move] ily TWO WAY POWER 09889 NO MODE SETUP

There is a box M₁ with a mass of 20 kg placed on an inclined plane with respect to x-axis of 30°. M₁ is connected with a cable, which is parallel with the inclined plane. The coefficient of the static friction between the surface and the box is μs=0.25. Determine the tension force T in the cable. Assume gravity to be 9.8m/s2. O O 30⁰ T = 98 N T = 55.56 N Don't Know T = 196 N T = 42.44 N M₁ T

(ii) The block on the left incline is 6kg. Find the mass of the block on the right incline so that the system is in equilibrium (no acceleration). All surfaces are frictionless. (ii) Determine the tension in the string if the coefficient of static friction is 0.4. 6 kg 0210 60° m = ? 25° boosts zi sqon A odTgd of 30 laups i onge