1. A slender, uniform metal rod of mass M and length 1 is pivoted without friction...

 

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1. A slender, uniform metal rod of mass M and length 1 is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. Ignore gravity . Find the torque 7 due to the spring. Assume that is small enough that the spring remains effectively horizontal and you can use the small angle approximation sin(0) and cos(0)~ 1. • What is the angular frequency w of oscillations of the rod? 1. A slender, uniform metal rod of mass M and length 1 is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. Ignore gravity . Find the torque 7 due to the spring. Assume that is small enough that the spring remains effectively horizontal and you can use the small angle approximation sin(0) and cos(0)~ 1. • What is the angular frequency w of oscillations of the rod?

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Use the sine function to solve for the stretch T TF Refer the figure Substitut... View the full answer