1. A mass m is swinging on a stringof length L as sown below. The maximum...

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1. A mass m is swinging on a stringof length L as sown below. The maximum angle of the swing is 0m and the initial conditions are that at t=00 = 0 and v = vo in the direction of increasing 0. Starting from the formula for Newton's Second law in polar coordinates [m= m( r) +m(r+20)] : (a) derive the equation for (t) in terms of m,g,R, and v and t. You may use the small angle approximation. (b) Dereive the equation fot the tension on the string (T(t)) in terms of those same variables. R m 1. A mass m is swinging on a stringof length L as sown below. The maximum angle of the swing is 0m and the initial conditions are that at t=00 = 0 and v = vo in the direction of increasing 0. Starting from the formula for Newton's Second law in polar coordinates [m= m( r) +m(r+20)] : (a) derive the equation for (t) in terms of m,g,R, and v and t. You may use the small angle approximation. (b) Dereive the equation fot the tension on the string (T(t)) in terms of those same variables. R m