When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 50 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.1. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 7 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = mg sin 60° 60° N mg -KAN x(t) mg cos 60° x(0) = 0

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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When an object slides on a surface, it encounters a resistance force
called friction. This force has a magnitude of μN, where μ is the
coefficient of kinetic friction and N is the magnitude of the normal force
that the surface applies to the object. Suppose an object of mass 50 kg is
released from the top of an inclined plane that is inclined 60° to the
horizontal. Assume the gravitational force is constant, air resistance
is negligible, and the coefficient of kinetic friction μ = 0.1. Determine the
equation of motion for the object as it slides down the plane. If the top
surface of the plane is 7 m long, what is the velocity of the object when it
reaches the bottom? Assume that the acceleration due to gravity is
9.81 m/sec².
Determine the equation of motion for the object as it slides down the plane.
x(t) =
mg sin 60°
شت
60°
N
mg
x(t)
-KAN
x(0) = 0
mg cos 60°
Transcribed Image Text:When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 50 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.1. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 7 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = mg sin 60° شت 60° N mg x(t) -KAN x(0) = 0 mg cos 60°
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