The uniform crate has a mass of 50 kg and rests on a cart that has an inclined surface as shown. The person pulling the cart applies a horizontal force F causing the cart and crate to accelerate to the left. Assume the crate will not slip. F (a) Calculate the acceleration a that would cause the crate to tip over about its bottom right corner. (b) What is the minimum static friction coefficient us required to prevent the crate from slipping? Hint: The use of a rotated coordinate system is not recommended. 15° 0.6 m 1 m

The uniform crate has a mass of 50 kg and rests on a cart that has an inclined surface as shown. The person pulling the cart applies a horizontal force F causing the cart and crate to accelerate to the left. Assume the crate will not slip. F (a) Calculate the acceleration a that would cause the crate to tip over about its bottom right corner. (b) What is the minimum static friction coefficient us required to prevent the crate from slipping? Hint: The use of a rotated coordinate system is not recommended. 15° 0.6 m 1 m

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 7.72P

See similar textbooks

Similar questions

The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.
The mass of the unbalanced disk is m, and its center of gravity is located at G. If the coefficient of static friction is 0.2 between the cylinder and the inclined surface, determine whether the cylinder can be at rest in the position shown. Note that the string AB is parallel to the incline.
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.
Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.
The 320-lb homogeneous spool is placed on the inclined surface. Determine the vertical force P that is required to keep the spool in the position shown. Assume that there is enough friction to prevent slipping at A.
The 3600-lb car with rear Wheel drive is attempting to tow the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide.
The man pushes the 120-lb homogeneous crate with the horizontal force P. Determine the largest distance h for which the crate will slide without tipping.
The man is pedaling his bicycle at a constant speed up a slippery slope of 5%. The man and the bicycle have a total mass of 82 kg centered at G. If the rear wheel is about to slip, find the coefficient of friction u between the tire and the road. If the coefficient of friction were doubled, what friction force would act on the rear wheel? (Why can we neglect the friction under the front wheel?)
the cylinder with a mass m1=2kg and radius r=0,1m is placed at a plate with mass m2=4kg. We are applying force F at this plate. Find an acceleration of the plate, when the friction coefficient μ=0,2
The[m2]-kg block shown sits on top of a[m1]-kg ramp,which is being pushed by an external forceP.Thecoefficients of static and kinetic frictions between the rampand block are[μs]and 0.2 respectively. The ramp is onrollers and we can assume its contact with the ground isfrictionless. ForcePis always applied in the direction shown.(a) Calculate the minimum forcePrequired to keep the block from sliding on the ramp.(b) Calculate the maximum forcePthat can be applied before the block slides on the ramp.
A cube with mass of m=80N is on the inclined plane with angle of phi=20 degrees. coeficient of static friction /mu_s = 0.25 coeficient of dynamic friction /mu_k = 0.15 Determine: what is the smallest size of the force F parallel to the inclined plane, which prevents the cube in the slide? what is the smallest size of the force F, which the cube starts to move along the inclined plane up? At what value of the force F starts the cube to rise at a constant speed?
For the system shown, the masses of A and B are 55kg and 135kg, respectively. the coefficient of static friction between block B and surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. the coefficient of friction between the rope and the pulley is 0.10. a. What is the tension force in the rope connected to block B if the system is in equillibrium? b. What is the magnitude of the friction force between block B and the horizontal surface C if the system is in equillibrium? c.What is the maximum mass that can be suspended as shown and still maintain equillibrium.