8-105. A 10-kg cylinder D, which is attached to a small pulley B, is placed on the cord as shown. Determine the largest angles so that the cord does not slip over the peg at C. The cylinder at E also has a mass of 10 kg, and the coefficient of static friction between the cord and the peg is µ = 0.1. PROB. 8-105 A 0 B D 0 E
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- You are designing an amusement park ride where riders will stand inside a rotating circular cylinder with their backs against the curved wall. After the cylinder reaches full rotation speed, the floor will lower and the riders will remain suspended against the wall by friction. The static friction coefficient is 0.6 a) determine the minimum acceration of a rider under these condition such that friction will successfully keep the rider from falling. b) find the speed at which a rider will just barely remain supported, for a cylinder with a radius 4.2 mThe mine car and its contents have a total mass of 5 kg and a center of gravity at G. If th coefficient of static friction between the wheels and the tracks is 0.3 when the wheels an locked, find the normal force acting on the front wheels at B and the rear wheels at A whe the brakes at both A and B are locked. Does the car move? (g = 9.81 m/s²) 17 N 0.8 m B •G 0.5 m- -1.2 m- 0.1 m8-10. The uniform 20-lb ladder rests on the rough floor for which the coefficient of static friction is , = 0.8 and against the smooth wall at B. Determine the horizontal force P the man must exert on the ladder in order to cause it to move. 8 ft B 5 ft 6 ft 5 ft P
- The light right-angle boom which supports the 450-kg cylinder is supported by three cables and a ball-and-socket joint at O attached to the vertical x-y surface. Determine the reactions at O and the cable tensions. y 1.65 m! 1.70 m C 1.40 m E 1.40 m A 2.80 m 0.85 m B 0.85 m 450 kg Answers: Ox = i N Oy = i N O2 = i N TẠC = i N TBD = i N TBE = i NA homogeneous ring of radius r is suspended from a peg in a vertically downwards uniform gravitational field g and loaded by a force P as shown using a ring-fixed massless inextensible chord. The coefficient of friction is u. If the force P is to be supported without slip at the peg-ring contact, Derive the expression for the minimum value of the weight of the ring.Pls asap
- Two identical 5.0-kg boxes are stacked one on top of the other. The stack of boxes is accelerated at a rate of 2.0 m/s² without any slipping. The coefficient of friction between the two boxes is 0.4. Which of the following can we say about the friction component of the force the bottom box exerts on the top box? The friction component of the force the bottom box exerts on the top box has a magnitude between 10N and 20 N. There is no friction between the boxes because the top box is at rest with respect to the bottom box. The friction component of the force the bottom box exerts on the top box is exactly 20 N. The friction component of the force the bottom box exerts on the top box is greater than 20 N. The friction component of the force the bottom box exerts on the top box has a magnitude of exactly 10 N. The friction component of the force the bottom box exerts on the top box has a magnitude less than 10 N.7. What is the tension in each cable for the equilibrium configuration shown below? Cable A has a -x component, and positive y and z components, cable B is in the +x direction, and cable C has negative x and y components and a +z component. The 1300 N force is acting in the -z direction. +z C 2.0 m A 1.0 m 3.0 m 2.0 m 1.0 m 4.0 m Question #7 B +y +x 1300 N 8. By how much do the two springs stretch in the equilibrium configuration below in order to support the 25 kg mass? Each spring has an unstretched length of 2.2 m and a spring constant of 250 N/m. Spring A is exerting a force in the -y direction. Spring B is exerting a force in the -x direction.9-v4 The box shown in the figure is being ac- celerated by pulling on it with the rope. (a) Assume the floor is frictionless. the maximum force that can be applied with- out causing the box to tip over? (b) Repeat part a, but now let the coefficient of friction be µ. What is (c) What happens to your answer to part b when the box is sufficiently tall? How do you interpret this? 2а m 2b
- 9. The system shown in the following figure is in static equilibrium and the angle θ = 27.0°. Given that the mass m1 is 8.10 kg and the coefficient of static friction between mass m1 and the surface on which it rests is 0.33, what is the minimum mass that m2 can have for which the system will still remain in equilibrium?What If? If the incline under m, is rough, what is the minimum value of the coefficient of static friction M for which the system will not move?The weight of the box is W = 90 N and the coefficient of static friction between the box and the floor is u0.65. Neglect the weights of the bars. What is the largest value of the force F that will not cause the box to slip?