3kg ball connected to horizontal  AB with cable. AB rotates with constant angular velocity w about vertical axis. if angle of cable with vertical is theta= 30 degree, find angular velocity and tension of the cable.

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2. A cord is wrapped around a homogeneous disk of radius r = 0.5 m and mass m = 14. 25 kg. If the cord is pulled upward with a force T of magnitude 171 N, determine a. the acceleration of the center of the disk, b. the angular acceleration of the disk, c. the acceleration of the cord. T 0.5 m Go A Draw the Free Body Diagram.

The plumb line of a 2m pendulum describes an arc of a circle in a vertical plane. If the tension in the string is 2.5 times the weight of the bob for the position shown in the figure, find the velocity and acceleration of the bob at that position.

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4. A uniform rod is free to rotate about Point A. The tram that is holding A is accelerating to the left at 4 m/s². Neglect air resistance. When the rod is in equilibrium, at what angle, 0, will the rod be oriented relative to vertical? a = 4 m/s² A 0 = ? Rod g m = 6 kg L = 0.3 m

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Please explain each type of motion that would occur in the object if moments were applied in the x, y, and z directions. Thanks!

Q3 A disk of radius R shown in the figure R spins at the rate of 0 about an axle held by a fork-ended horizontal rod that rotates itselfat the rate of Ø. Find the angular velocity of the disk.

EXERCISE 3.40 Collar C slides relative to the curved rod at a constant speed u. The rotation rate about bearing axis AB is constant at Q. Determine the acceleration of the collar in terms of the angle locating the collar. Also derive expressions for the dynamic forces exerted on the collar by the rod and the tangential force required to hold u constant. Gravity may be assumed to be unimportant. (Hint: attach frame xyz to the curved rod, make the tangent point of AB and circle as its origin. Axis x is horizontal and rightward. y axis is vertical and downward.) 225