A 10 kg wheel with a moment of inertia of 0.162 kg. m² about its center is released from rest on an inclined plane at 60°. Originally, the coefficient of kinetic friction is μ=0.30, causing the wheel to slip. Find the minimum coefficient of friction necessary for the wheel not to slip. 200 mm 60° -0.30
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- 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.Consider a solid cylinder of mass 5 kg and radius 0.3 m on a surface with insufficient friction so that the cylinder will slip (with max friction force). The angle of the incline is 0 = 58 deg, and the coefficient of friction is u = 0.19. If the cylinder starts from rest, calculate the time required for the center of mass to travel a distance of 7 m along the incline. N mgMotiyo Add explanation
- 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 SETUPThe cart and its contents have a total mass of 4500 kg and a center of gravity at G as shown in Figure Q4. The coefficient of static friction between the wheels and the tracks is µ, = 0.4 when the wheels are locked. The normal forces acting on the wheels at (A and B) are independent as to whether the wheels are locked or not. Therefore, 10kN G 0.9 m A20.15 m : 0.6 m 1.5 m Figure Q4: The cart. (a) Draw the free-body diagram of the system. (b) Calculate the normal force acting on the front wheels at B when the brakes at both A and B are locked.Mass = 147 kg coefficent of friction= 0.37 h = 4 m
- Problem 4: This box is placed on a turntable at a distance r = 4.2 meters from the center axis. The turntable is originally at rest. At time t = 0, the turntable begins to rotate at a constant angular acceleration of 0.2 rad/s². Find the time at which the box begins to slip if the static coefficient of friction between the box and the platform is 0.58. r合 目 PO Week6 Friction_21-22.pdf ads/Week6_Friction_21-22.pdf 4. The mine car and its contents have a total mass of 6000 kg and a centre of gravity at G. If the coefficient of static friction 10 kN 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 %3D A. /0.15 m B. 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] ilyAn amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m. (a) Find wmin. the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.
- Answer all parts pleaseA uniform slender bar AB with a mass of 20 kg and length of 3.6 m leans on a wall as shown. It is attached to a weightless small roller at end A on a smooth horizontal surface. The coefficient kinetic friction between end B and the wall is 0.25. If the bar is released from rest in the position shown when θ is 30°. Then find, determine the normal force at A. determine the normal force at B. determine the frictional force between end B and the wall.Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless. ANS. 250 mm