Learning Goal: To be able to set up and analyze the free-body diagrams and equations of motion for a system of particles. Consider the mass and pulley system shown. Mass m₁ = 34 kg and mass m₂ = 15 kg. The angle of the inclined plane is given, and the coefficient of kinetic friction between mass m₂ and the inclined plane is k = 0.12. Assume the pulleys are massless and frictionless. (Figure 1) Figure s m₂ 1 of 1 ▼ What is the acceleration of mass m2 on the inclined plane? Take positive acceleration to be up the ramp. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) a2 = Submit μA Value Submit O Part B - Finding the speed of the mass moving up the ramp after a given time μÅ v(2.5 s) Value Units If the system is released from rest, what is the speed of mass m₂ after 2.5 s? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Bed ? Units 9999 ? Part C - Finding the distance moved by the hanging mass When mass m2 moves a distance 4.96 m up the ramp, how far downward does mass m₁ move? Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
Learning Goal: To be able to set up and analyze the free-body diagrams and equations of motion for a system of particles. Consider the mass and pulley system shown. Mass m₁ = 34 kg and mass m₂ = 15 kg. The angle of the inclined plane is given, and the coefficient of kinetic friction between mass m₂ and the inclined plane is k = 0.12. Assume the pulleys are massless and frictionless. (Figure 1) Figure s m₂ 1 of 1 ▼ What is the acceleration of mass m2 on the inclined plane? Take positive acceleration to be up the ramp. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) a2 = Submit μA Value Submit O Part B - Finding the speed of the mass moving up the ramp after a given time μÅ v(2.5 s) Value Units If the system is released from rest, what is the speed of mass m₂ after 2.5 s? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Bed ? Units 9999 ? Part C - Finding the distance moved by the hanging mass When mass m2 moves a distance 4.96 m up the ramp, how far downward does mass m₁ move? Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
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....
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1. What is the acceleration of mass m2 on the inclined plane? Take positive acceleration to be up the ramp.
2. If the system is released from rest, what is the speed of mass m2 after 2.5 s ?
3. When mass m2 moves a distance 4.96 mm up the ramp, how far downward does mass m1 move?
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