Motion of a Pendulum: Find Max Velocity

[factor_of_2]

I'm looking at a pendulum problem at the moment that requires me to find the maximum velocity achieved as an object swings from the end of a rope. The rope is of no mass and air resistance is neglected. The object is 5.0 kg and the rope is 10 m long. The angular displacement from the center point is 30 degrees. I'm wondering that if I simply calculate the x component of the force experienced by the object at that point and solve for acceleration, will that value remain constant for the motion of the object. Or does the object experience variable acceleration due to the fact that it moves as a pendulum?

 

[Päällikkö]

Acceleration changes, thus you'd end up with a very difficult differential equation.

Use the principle of conservation of energy.