The horizontal force P acts on the rim of the homogeneous cylinder of radius R and weight W. Determine the smallest coefficient of static friction that enables the cylinder to start rolling up the 30◦ incline.

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A 8.0 m long ladder AB leans against a smooth wall making an angle of 70º with the floor. The ladder is uniform and has a mass of 40.0 kg.(a) Determine the forces exerted on the ladder by the floor and the wall (i.e. at A and B respectively).(b) Determine the minimum value of the coefficient of static friction to prevent the ladder from slipping.

Problem 4. A.) If the uniform concrete block has a mass of 500 kg, determine the smallest horizontal force P needed to movethe wedge to the left. The coefficient of static friction between the wedge and the concrete and the wedge and the floor is 0.3. The coefficient of static friction between the concrete and floor is 0.5.ANSWER: P=1797.52; N=1.80kNB.)Refer to problem number 4. Calculate the followinga.) the angle of friction between the wedge and the concrete and the wedge and the floor.Answer: ?????? ??? ????????= ?????? ??? ?????= 16.7ob.) the coefficient of static friction between the concrete and floor.Answer: ????????? ??? ?????= 263.56o

Q1: The tractor has a weight of 4500 lb with center of gravity at G. The driving traction is developed at the rear wheels B, while the front wheels at A are free to roll. If the Q2: The mine car and its contents have a total mass of 9 Mg and a center of gravity at G. If the coefficient of static friction between the wheels and the tracks is u, = 0.4 when the wheels are locked, find the normal force acting on the coefficient of static friction between the wheels at B and the ground is u, = 0.5, determine if it is possible to pull at P = 1350 lb without causing the wheels at B to slip or the front wheels at A to lift off the ground. front wheels at B and the rear wheels at A when the brakes at both A and B are locked. Does the car move? 10 kN 0.9 m G 0.15 m 3.5 ft 1.25 ft 0.6 m- 4 ft -1.5 m- 2.5 ft

The 136-kg industrial door with mass center at G is being positioned for repair by insertion of the 6° wedge under corner B. Horizontal movement is prevented by the small ledge at corner A. The coefficients of static friction at both the top and bottom wedge surfaces are 0.58. Calculate the rightward force P' which would remove the wedge from under the door. Assume that corner A does not slip for your calculation of P, but then check this assumption; the coefficient of static friction at A is 0.58.

The three identical rollers are stacked on a horizontal surface as shown. If the coefficient of static friction µ is the same for all pairs of contacting surfaces, find the minimum value of μs for which the rollers will not slip. - Answer: Us=

The green rods apply a 2.6 kN clamping force to the red object, E. The square-threaded screw used to generate the clamping force passes through a threaded opening at B and presses against lever ACE at E. The coefficient of static friction is = 0.29. Neglect friction at A. The screw has mean radius r = 9 mm and lead L = 2 mm. B 180 mm 70 mm E (a) Determine the force in member CD in kilonewtons. (Enter the magnitude.) kN (b) Determine the magnitude of the moment in N• m that one must apply to the screw to increase the clamping force. N: m (c) Determine the magnitude of the moment in N •m that one must apply to the screw to decrease the clamping force. N: m