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aurora14421
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[SOLVED] Simple Harmonic Motion
A mass rests on a frictionless horizontal table and is connected to rigid supports via 2 identical springs (which obey Hooke's law). Each spring is stretched to a length (l) considerably greater than its rest length. At rest, the mass is located at the origin.
What is the magnitude and direction of the net force exerted by the springs on the mass when it is displaced in a perpendicular direction to the springs (i.e. along the y axis) for the special case of a small displacement.
Hence, write down the equation of motion governing small oscillations in the y direction and give the period (using small angle approximation for sin theta).
(y/l)<<1
Hooke's law: F=-kx
Homework Statement
A mass rests on a frictionless horizontal table and is connected to rigid supports via 2 identical springs (which obey Hooke's law). Each spring is stretched to a length (l) considerably greater than its rest length. At rest, the mass is located at the origin.
What is the magnitude and direction of the net force exerted by the springs on the mass when it is displaced in a perpendicular direction to the springs (i.e. along the y axis) for the special case of a small displacement.
Hence, write down the equation of motion governing small oscillations in the y direction and give the period (using small angle approximation for sin theta).
Homework Equations
(y/l)<<1
Hooke's law: F=-kx