Advance dynamics assignment 1

Problem 1

A pendulum is made as shown in the figure below : the end of the string l is connected to the uppermost

point of a vertical fixed disk of radius R ( R

Problem 2

A point mass moves smoothly on the horizontal plane where it is connected to a string . the mass moves

along a circle with v0 and it is pulled with the string . find the velocity when the radius is ha;f the initial

radius

Problem 3

A mass is attached to a zero mass rode of length L that pivoted at o as shown below. A mass m2 is free

to slide along a friction less rode but constrained by a spring k. find equation of motion using the

momentum principles.

Problem 4

Use the momentum principle to derive the equation of momentum of the below system