A towing machine can deliver horizontal towing force T by a strong, inclastic cable. Thetowing force T can vary as shown in the graph. A 490 kg timber, initially at rest, is attachedto the towing machine. The static friction coefficient between the timber and the surface isHk = 0.49, and the towing machine must overcome the minimum force needed to move thetimber against the static friction. If the kinetic friction coefficient between the timber and thesurface is µg = 0.39, determine the velocity of the timber at t= 6.5 seconds.MT (N)2000T=125(s)

Given Data Mass of timber is : m=490 kg Coefficient of static friction is :μs=0.49 Coefficient of…

Answered: A towing machine can deliver horizontal…

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 7.3P: Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair...

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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 figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.
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 block weighing 2.50 kg begins its motion from a stationary position at point A, located at the highest point of a frictionless ramp. The ramp is inclined at an angle of 40° relative to the horizontal and has a length of 1.50 m. As the block slides down the ramp, it reaches a region between point B and point C, which is a rough horizontal surface with a kinetic friction coefficient of 0.30. After covering a distance of 1.00 m on the horizontal surface, the block encounters a lightweight spring with a spring constant of 900 N/m. A. Find the total energy for point A and point B? B. Find the speed of the block at point B? C. What is the cumulative work performed on the block as it moves along the rough horizontal surface? D. By employing the work-energy theorem, determine the velocity of the block at point C just before it collides with the spring?
A car weighing W1 starts moving from the point A of the inclined plane that makes an angle α with the horizontal, hitting the block B, which is at a distance of ℓ, and move smoothly. Since the kinematic friction coefficient µk between the block B and the inclined plane is µk, find the “X” distance where the car and block will stop. W1=W2; ℓ=10 m; µk=0.5; α= 12°
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To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle): a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95. b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed? c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed? e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route. Please add the free body diagram.
Fred pushes a 55 kg refrigerator with a force P = 100 N inclined at 30° from the horizontal at 1.60 m from the floor as shown in the diagram. The coefficient of static friction between the floor and the refrigerator is 0.40.1. Which among the choices shows the limiting value of the frictional force between the refrigerator and the floor?A) 90.9 NB) 195.8 NC) 108.8 ND) 490 N2. Is the refrigerator not moving, moving, or on the verge of moving? Prove this through calculations.3) Write the correct moment equilibrium equation about A for the refrigerator. (Just use P, don't use P =100)
Q: Block(A) of weight (100kN) is tied to block (B) of unknown weight (Ws) through a flexible cable passing over a smooth pulley .The coefficient of friction for block (A) is (0.3) and for block (B) is (0.2).Find the range of the weight of block (B) to remain in static equilibrium. Smooth pulley
A block of mass 60 kg is to be accelerated upwards along a plane inclined at 10° to the horizontal by force Fp, which is parallel to the plane and has a magnitude of 420 N. The coefficient of friction is 0.25. Calculate the normal force and the frictional force of the block. The answer Fn= 579.66N Ff=144.93N
2.5 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 5.8 N and a vertical force are then applied to the block. The coefficients of friction for the block and surface are ?s = 0.38 and ?k = 0.23. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of is 8.0 N. N(b) Determine the magnitude of the frictional force acting on the block if the magnitude of is 10.0 N. N(c) Determine the magnitude of the frictional force acting on the block if the magnitude of is 12.0 N. N

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