A cam is to give the following motion to a knife-edged follower: - To raise the follower through 30 mm with uniform acceleration and deceleration during $120^{\circ}$ rotation of the cam. - Dwell for next $30^{\circ}$ of the can rotation. - To lower the follower with simple harmonic motion during the next $90^{\circ}$ rotation of the cam. - Dwell for the rest of the cam rotation. The cam has a minimum radius of 30 mm and rotates counterclockwise at a uniform speed of 800 rpm . Draw the profile of the cam if the line of stroke of the follower passes through the axis of the cam shaft. Also, draw the displacement, velocity and acceleration diagrams for the motion of the follower for one complete revolution of the cam indicating main values.

Explanation

The cam profile is designed to achieve the required motion of the follower. The cycloidal curve is used to obtain the simple harmonic motion of the follower. The displacement, velocity, and acceleration diagrams are obtained by differentiating the displacement equation with respect to time. The main values of displacement, velocity, and acceleration are calculated at specific angles of cam rotation.

Explanation

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