1.) The rigid body illustrated in the diagram is executing a general planar moti

Question

1.) The rigid body illustrated in the diagram is executing a general planar motion. The velocity of point A is [Va]=3n m/s, where n & OverBar; is a unit vector. The position vector of point B relative to point A is [r]=2p m, where p & OverBar; is also a unit vector. The constant angular velocity of the rigid body is [d]=2q rad/s. Furthermore, q & OverBar; is unit vector too. Assuming that q x p is perpendicular to n & OverBar; determine the magnitude of the velocity of point B at the instant shown.

Express your answer in m/s and give your answer to 4 decimal places. Assume that g=9.81 m/s^2.

2.)

The rigid body shown in this diagram is moving such that the velocities of Points A and B are the same. Determine the magnitude of the angular velocity of the rigid body.

Express your answer in rad/s and give your answer to 4 decimal places. Assume that g=9.81 m/s^2.

Explanation / Answer

1) VB = VA + 2p x 2q
             = 3n    + 4 pxq

magnitude of VB    = [3^2 + 4^2]^0.5 = 5   m/s

2) w = angular velocity =0

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.