A sphere is suspended from a string of height 1 m. The sphere begins to rotate uniformly in a circle in the horizontal plane, with a period of 2 seconds. During rotation, the thread makes an angle of pi/6 rad with the vertical. Determine the target linear velocity and acceleration of the motion circular of the sphere.

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The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰

3. The crank, connecting rod and cross head of a stationary steam engine are shown diagrammatically in fig. The 22.5 cm crank arm BC is rotating at a constant rate of 150 rpm. The length of the connecting rod AB is 80 cm. Find the velocity and acceleration of the cross-head A when 0=45º. The cross-head moves on a horizontal line through C.