The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 28 m/s and its acceleration is 7 m/s 2 . Express the velocity and acceleration of the washer at this point in terms of its cylindrical components.

Velocity components

For Acceleration components;

Explanation:

We are given:

We first need to find the radial position r of washer in x-y plane.

Therefore

r = 500 mm

To find length along direction OA we have:

Therefore, the radial and vertical components of velocity will be given as:

Where Q is the angle between OA and vector r.

Therefore,

•

•

The radial and vertical components of acceleration will be:

Therefore we have:

•

•

•

Note : image is missing, so I attached it

answer:

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