In the figure, the driver of a car on a horizontal road makes an emergency stop by applying the brakes so that all four wheels lock an skid along the road. The coefficient of kinetic friction between tires and road is 0.49. The separation between the front and rear axles is L = 4.2 m, and the center of mass of the car is located at distance d = 1.9 m behind the front axle and distance h = 1.2 m above the road. The car weighs 12 kN. Find the magnitude of (a) the braking acceleration of the car, (b) the normal force on each rear wheel, (c) the normal force on each front wheel, (d) the braking force on each rear wheel, and (e) the braking force on each front wheel. (Hint: Although the car is not in translational equilibrium, it is in rotational equilibrium.)

In the figure, the driver of a car on a horizontal road makes an emergency stop by applying the brakes so that all four wheels lock an skid along the road. The coefficient of kinetic friction between tires and road is 0.49. The separation between the front and rear axles is L = 4.2 m, and the center of mass of the car is located at distance d = 1.9 m behind the front axle and distance h = 1.2 m above the road. The car weighs 12 kN. Find the magnitude of (a) the braking acceleration of the car, (b) the normal force on each rear wheel, (c) the normal force on each front wheel, (d) the braking force on each rear wheel, and (e) the braking force on each front wheel. (Hint: Although the car is not in translational equilibrium, it is in rotational equilibrium.)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 30P

See similar textbooks

Similar questions

A 68 kg man is in the prone position while during pushups. His feet and hands are 95 cm and 42 cm away respectively from his center of mass. What is the normal force exerted by on each (a) hand and (b) foot?
Consider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.
A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an inclined plane of height 2.00 m when it begins to roll down the incline. If rolling and sliding friction are neglected, what is the linear velocity, in m/s, of the center-of-mass of the wheel when it reached the bottom of the incline?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 4.8) m, and 4.0 kg at (3.4, 0.0) m. Where should a fourth object of 9.0 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.5 kg at (0.0, 3.9) m, and 4.0 kg at (3.2, 0.0) m. Where should a fourth object of 9.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x = y =
A hollow spherical shell with mass 1.50 kg rolls without slipping down a slope that makes an angle of 37.0 degree with the horizontal. a) Find the magnitude of the acceleration of the center of mass of the spherical shell. Take the free-fall acceleration to be g = 9.80 m/s^2. b) Find the magnitude of the frictional force acting on the spherical shell. Take the free-fall acceleration to be g = 9.80 m/s^2.
In the figure, a climber leans out against a vertical ice wall that has negligible friction. Distance a is 0.975 m and distance L is 1.90 m. His center of mass is distance d = 0.91 m from the feet-ground contact point. If he is on the verge of sliding, what is the coefficient of static friction between feet and ground?
Three identical masses m are located at the three corners of an equilateral triangle with sides a in the xy-plane, with its base along the x-axis. Find their center of mass rCM and moments of inertia I with respect to (a) an axis through the center of mass parallel to the x-axis and (b) an axis through the center of mass parallel to the y-axis.
a horizontal scaffold, of length 2.00 m and uniform mass 50.0 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans is 75.0 kg. The tension in the cable at the right is 722 N. How far horizontally from that cable is the center of mass of the system of paint cans?
A hollow spherical shell with mass 1.75 kgkg rolls without slipping down a slope that makes an angle of 40.0 degrees with the horizontal. a.) Find the magnitude of the acceleration acmacma_cm of the center of mass of the spherical shell. Take the free-fall acceleration to be ggg = 9.80 m/s2m/s2 . =3.78 b) Find the magnitude of the frictional force acting on the spherical shell. Take the free-fall acceleration to be ggg = 9.80 m/s2m/s2 . =4.41 c)Find the minimum coefficient of friction μμmu needed to prevent the spherical shell from slipping as it rolls down the slope. i need help with C) ive got the first two.
A crane of mass m1 = 3 000 kg supports a load of mass m2 = 10 000 kg as shown in Figure P10.36. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at (a) point A and (b) point B. Figure P10.36
To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?