Problem 5: A wheel is released at the top of a hill. It has a mass of 150 kg, a radius of 1.25 m, and a radius of gyration of kg -0.6 m. هما a). Assume that the wheel does not slip as it rolls down the hill. Derive the equation of motion using Lagrange equations. b). Assume the wheel does slip, and that the friction force between the wheel and the ground is 7 = -3Ni Derive the equations of motion using Lagrange equations. Concept question: For which case, a) or b) will friction appear in the equations of motion as a non-conservative generalized force? A. in a) only, B. in b). only, C. in a) and b), D. Never.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 5:
A wheel is released at the top of a hill. It has a mass of 150 kg, a radius of 1.25 m, and a radius
of gyration of kg -0.6 m.
be
a). Assume that the wheel does not
slip as it rolls down the hill. Derive
the equation of motion using
Lagrange equations.
b). Assume the wheel does slip, and
that the friction force between the
wheel and the ground is 7 = -3Ni.
Derive the equations of motion using
Lagrange equations.
Concept question: For which case,
a) or b) will friction appear in the equations of motion as a non-conservative generalized force?
A. in a) only, B. in b). only, C. in a) and b), D. Never.
Transcribed Image Text:Problem 5: A wheel is released at the top of a hill. It has a mass of 150 kg, a radius of 1.25 m, and a radius of gyration of kg -0.6 m. be a). Assume that the wheel does not slip as it rolls down the hill. Derive the equation of motion using Lagrange equations. b). Assume the wheel does slip, and that the friction force between the wheel and the ground is 7 = -3Ni. Derive the equations of motion using Lagrange equations. Concept question: For which case, a) or b) will friction appear in the equations of motion as a non-conservative generalized force? A. in a) only, B. in b). only, C. in a) and b), D. Never.
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