L. A mass m is swinging on a stringof length L as sown below. The maximum angle of the swing is 8, and the initial conditions are that at + = 0 8 = 0 and v = v in the direction of increasing 6. Starting from the formula for Newton's Second law in polar coordinates [rm:" = m(7 r6)F + m(rf + 276)8| : (a) derive the equation for A(t) in terms of m,g,R, and vy and . You may use the small angle approximation. (b) Dereive the equation fot the tension on the string (T(#)) in terms of those same variables