A box A of mass M rests on a 50 kg block B, which in turn rest on an inclined plane. The coefficient of friction between boxes is 0.40 and between box B and surface is 0.30. Pulley is frictionless. Determine the minimum value of mass M to prevent slippage. Check all possible motions. Answer: M= 30.5 kg 200 N 30° B 400 N

A box A of mass M rests on a 50 kg block B, which in turn rest on an inclined plane. The coefficient of friction between boxes is 0.40 and between box B and surface is 0.30. Pulley is frictionless. Determine the minimum value of mass M to prevent slippage. Check all possible motions. Answer: M= 30.5 kg 200 N 30° B 400 N

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.57P: The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a...

See similar textbooks

Similar questions

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.
The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.
The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.
Box A weighs 1000N and has a height of H1=3m and width W1=2m. Box B weighs 800N. the static friction coefficient between the boxes is uA=0.7 and the static friction coefficient between box B and the ramp is uB=0.5. Find the max allowable angle for the following instances where no motion occurs, box A and B remain stationary. 1) Box A slides, Box B remains stationary 2) Box A tips, Box B remains stationary 3) Box B slides, Box A remains stationary on block B
A man is walking over a dome of 10m radius. How far he can descend from the top of the dome without slipping? Take coefficient of friction between the surface of the dome and shoes of the man as 0.6.
A 1855 kg car has a velocity of 100 km/h when the brakes are fully applied. Assume modern traction control eliminates tire skidding. Determine time and distance to stop the car if dry-pavement static friction coefficient is 0.8.Creat a conclusion for this problem.
. A 25-kg ladder, 4 m long, rests on a rough floor and against a vertical wall. The ladder makes an angle of 350 with the horizontal as shown. It starts to slip when a man weighing 75 kg has climbed halfway up. If f = 0.20 at the wall, find the coefficient of friction (µf) at the floor.
The system is used to lift a block with mass 300 kg. If the friction coefficient between twoblocks, and between a block and a surface, are 0.20 and 0.35, respectively, what is the minimum force Prequired such that the object is about to be lifted? Assume weights of the blocks to be negligiblecompared to lifted weight. (g=9.81)
consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?
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 θ 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?
A rigid gate of a flood control structure in a river is 6 m wide by 4 m high and weighs 10 kN. With its longer edge horizontal, it is moved up and down with its short edges sliding in vertical channel guides. Evaluate the force, in kN, needed to raise the gate when the surface of the water is 2 m. above its top edge. There is no water on thedownstream side of the gate. The coefficient of friction between the gate and the channel guides is 0.10. Neglect the buoyant effect of the water on the gate and the weight of the cables connected to the gate.a. 104 b. 94 c. 110 d. 92
PROBLEM: To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction parallel to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. If the weight of the box w= 20.0 N, the angle made by the incline with the horizontal θ=25o, and the coefficient of static friction µs=0.16, who has the easier job?