A uniform wire of total mass M and total length L is bent in its middle into an inverted “V” shape as shown. The 2 sides (each of length L/2) make an angle of θ=60 degrees between them. The wire is suspended from a hook (as shown) from the top and the wire is given a small push to the right so that it oscillates from side to side. a) Derive an expression for the moment of inertia of the bent wire about the pivot point (hook at the top). b) What is the vertical distance to the center of mass below the pivot point (in terms of L)? Draw a fairly large picture to solve this geometrically (use a straight edge) and show the location of the center of mass of the wire. c) Derive an expression for the period of oscillation as a function of L and g.
asap pls do all steps (a thru c) and show all work
A uniform wire of total mass M and total length L is bent in its middle into an inverted “V” shape as shown. The 2 sides (each of length L/2) make an angle of θ=60 degrees between them. The wire is suspended from a hook (as shown) from the top and the wire is given a small push to the right so that it oscillates from side to side.
a) Derive an expression for the moment of inertia of the bent wire about the pivot point (hook at the top).
b) What is the vertical distance to the center of mass below the pivot point (in terms of L)? Draw a fairly large picture to solve this geometrically (use a straight edge) and show the location of the center of mass of the wire.
c) Derive an expression for the period of oscillation as a function of L and g.
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