A mass travels in a straight line on a horizontal plane. It is attached at one end to a fixed vertical wall through a spring (spring constant ) while at the other end, it is connected through an inextensible cable to a pendulum of mass m. The lower mass m will oscillate in the vertical plane ABC and there is no friction. Using the position x of the mass and the angle theta of the mass m, as the configuration variables, write the two equations of motion.

The equations are as below:

Explanation:

As the complete question is not given, the complete question is attached herewith.

From the given data

The mass of the block is M

The length of the spring at any given time is l

The length of the spring initially is lo

The length of the platform is lr

So the coordinates in y and z direction are given as

Now the Lagrange is given as

Now The value is given as

So the 1st equation becomes

Now the second equation is as

15.3 cos 65 degrees trig

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