In the given figure below, a 3.0 -kg block is sliding down a 60°-rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25 m from an uncompressed spring located at the other lower end of the incline. The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. What would be the maximum compression (in m) of the spring? 5.25 m 60°

In the given figure below, a 3.0 -kg block is sliding down a 60°-rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25 m from an uncompressed spring located at the other lower end of the incline. The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. What would be the maximum compression (in m) of the spring? 5.25 m 60°

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 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...

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In the given figure below, a 3.0 -kg block is sliding down a 60o-rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25 m from an uncompressed spring located at the other lower end of the incline. The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. (a) At what speed (in m/s) will the block strike the spring? (b) What would be the maximum compression (in m) of the spring?
If the coefficient of kinetic friction between the block and the table in the figure is 0.56, and m1= 0.150 kg and m2= 0.250 kg A) What value of m3 would keep the system in motion with constant speed?B) If m3= 0.100kg, what would be the magnitude of the acceleration of the system ?
In a 300-rough incline, a 1.25 kg block is initially at rest beside a spring that is compressed by 24 cm as shown in the figure below. The spring has a spring constant of 180 N/m and the coefficient of sliding friction between the incline and the block is 0.23. When the spring is released, (a) how far up the incline (with respect to its initial position) will the block slide before sliding back? (b) What is the speed of the block at the instant it is 0.34 m from its initial position?
A 4.6-kg block is pushed 2.3 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of ? = 30° with the horizontal, as shown in the figure below. If the coefficient of kinetic friction between block and wall is 0.30, determine the following. A figure, drawn from a side view, shows the right side of a rectangular block pushed up against a rough, vertical wall. A force vector F acts on the block and is represented by a diagonal rrow pointing up and to the right, toward the center of the block's left side. The arrow forms an angle ? with the horizontal. (a) the work done by F J(b) the work done by the force of gravity J(c) the work done by the normal force between block and wall J(d) By how much does the gravitational potential energy increase during the block's motion? J
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?
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.
A 4 kg collar C slides on a horizontal rod between 2 springs A and B shown in Figure Q2(c). Initially the system is at rest and assume no friction between the collar and the rod. If the collar is pushed to the right until spring B is compressed 50 mm and released, using work and energy principle, determine the distance travel by the collar.
A 25-kg block is initially at rest on a horizontal surface, and a horizontal force of 75.0 N is required to set the block in motion after which a horizontal force of 60.0 N is required to keep the block moving with constant speed. Find (a) the coefficient of static friction and (b) the coefficient of kinetic friction between the block and the surface.
In the figure, m1 = 10kg and m2= 4.0 kg. the coefficient of static friction between m1 and the horizontal surface is 0.50 and the coefficient of kinetic friction is 0.30. a) id the system is set in motion with m2 moving downward, how much will be the acceleration of the system and the tension of the rope? g= 10m/s2
The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?
Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?
1) Jonny pulls his sister Jane (weight 28 lbs), who is sitting in a wagon, up an incline ramp (θ = 17°) with a steady speed. If the coefficient of kinetic friction is 0.18, the wagon has a mass of 14 kg, and the length of the ramp is 2.4 m, find: the work done by the frictional force. the work done by the gravitational force.