# A uniform slender rod of mass m and length L is released from rest, with its lower end touching a frictionless floor. At the initial moment, the rod is inclined at an angle #theta = 30^0# with the vertical?

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Then the value of normal reaction from the floor just after the release will be?

(please solve the question without using the concept of the instantaneous axis of rotation)

Then the value of normal reaction from the floor just after the release will be?

(please solve the question without using the concept of the instantaneous axis of rotation)

##### 1 Answer

#### Answer:

#### Explanation:

If the floor is frictionless, the rod center of mass will move in a vertical line until the floor.

Calling

The dynamics are

The energy conservation states

but

Deriving this expression we have

substituting into the dynamic equation we have finally

Now for