A winch, located at M, pulls a box up an incline with a cable. The distance from the box to the winch is s. Suppose that, starting from rest, the box travels the full distances and the tension in the cable is a constant value T. Assume the box has mass m and a sliding coefficient of friction of Mk. What is the speed of the box, UM, when it reaches the winch at point M? Assume the values 8 = 9.81 m/s², T =300 N, k = 0.3, m = 20 kg, 0 = 30 deg, and s=10 m.

A winch, located at M, pulls a box up an incline with a cable. The distance from the box to the winch is s. Suppose that, starting from rest, the box travels the full distances and the tension in the cable is a constant value T. Assume the box has mass m and a sliding coefficient of friction of Mk. What is the speed of the box, UM, when it reaches the winch at point M? Assume the values 8 = 9.81 m/s², T =300 N, k = 0.3, m = 20 kg, 0 = 30 deg, and s=10 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 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

2 A winch, located at M, pulls box A up an incline with a cable. The distance from the box to the winch is s. Suppose that, starting from rest, the box travels the full distance s with constant acceleration in T seconds. Assume the box has mass m and a sliding coefficient of friction of µk. Determine the tension in the cable, P. (Hint: Use 1D kinematics to find the acceleration.) Values: g = 9.81 m/s², 0 = 30 deg., m = 20 kg, T = 3 sec., s = 6 m, μk = 0.3 Problem Last Updated: September 23, 2023 Box A 1 of 3 8 Winch M
Task 2 (a) The sports car, having a mass of 1900 kg, travels horizontally along a 20° banked track which is circular and has a radius of p= 100 m. If the coefficient of static friction between the tires and the road is 4, = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Neglect the size of the car. (b) Find all the forces on the car of part (a). (c) If the car is treated as a rigid body, draw the free-body-diagram. Task 3 Provide a practical application of three interconnected rigid bodies such that two of them rotate about a fixed axis and the third one has translational motion. Assume the dimensions of the three bodies, and speeds and accelerations of the two rotating rigid bodies. Find the speed and acceleration of translating rigid body.
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m / s? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m/s ? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
Q # 2: The power winch A hoists the 1000 lb log at a constant speed of 4 ft/sec as shown in Figure. If the power output of the winch is 6 hp, compute the coefficient of kinetic friction uk between the log and the surface. If the power suddenly increased to 8 hp, what is the corresponding instantane ous acceleration "a" of the log? 4 ft/sec A 100 lb
Q1. m-1 kg m,=4 kg The mechanism set up with m,, m, and weightless pulleys is as shown in the figure. Then, the masses are released. Static and kinetic friction between the inclined plane and m, are 0.6 and 0.5 respectively. What are the accelerations of m, and m,? (g = 10 m / s². Frictions and mass of the pulley are ignored.) Q2. 300 m/s .*........ yatay 100 m/s 320 m x=? A plane is flying horizontally at an altitude of 320 m with 300 m/s speed. It launches its bomb with 100 m/s speed relative to the plane as shown. How many meters away from the castle should the plane launch its bomb to hit the castle. (g=10 m/s², sin370=0.6; cos37°=0.8) Q3. 2 kg The object in the frictionless cone in the figure is making a uniform circular motion. Calculate, a) the normal force that the cone exerts on the object, b) centripetal force applied to the body, c) Find the speed of the object.
5. Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m and the horizontal surface of the table. If the block m, moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m, , and ms, the coefficient of kinetic friction between block my and the table, a. and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation.
A box with mass m = 2.75 kg rests on the top of a table. The coefficient of static friction between the box and the table is μs = 0.71 and the coefficient of kinetic friction is μk = 0.34. Write an expression for Fm the minimum force required to produce movement of the box on the top of the table. Solve numerically for the magnitude of the force Fm in Newtons. Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) Solve numerically for the acceleration, a in m/s2.
Block A is sliding down and pulling up both Block B and Block C. Find the accelerations of each body and the tension of rope if the coefficient of friction at Block A is 0.25 and at Block C is 0.35 A= 2000b B= 500 b C: 1000lb 314 A
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 what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?
A block of mass m= 2.0 kg is released from rest on an inclined plane at a height of h = 1.5 m. It moves down the rough incline with slope theta= 30.0°and continues on the horizontal frictionless surface. As shown in the figure, there is a spring with negligible mass and force constant k = 300 N/m. The coefficient of kinetic friction between the block and the incline is 0.250 What is the speed of the block when it gets down on the horizontal surface before it touches the spring? The box continues to move on the horizontal surface and compresses the spring. What will be the maximum compression of the spring?
1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?