energy = m g h = 0.04 * 9.81 * 0.1 Joules
L - L cos A = .1 m
1.4 (1-cos A) = .1 m
1 - cos A = .0714
cos A = about 1 - A^2/2 for small angle A
A^2/2 = .0714
A^2 = .1428
A = 0.378 radians amplitude
(1/2) m v^2 at bottom = (1/2)m (omega* L)^2 = energy from part A
etc
A simple pendulum is made from a Bob of mass 0.04kg suspended on a light spring of length 1.4m. keeping the string taut pendulum is pulled to one side until it has gained a height 0.1m. Calculated
A. the total energy of oscillation?
B. the amplitude of the resulting oscillation?
C . the period of the resulting oscillations?
D.the maximum velocity of the bob?
E.the maximum kinetic energy?
1 answer
2 answers