4. The angular velocity of the disk is defined by w = (7t² + 10) rad/s, where t is in seconds. Determine the magnitudes of the velocity and acceleration of point A on the disk when t = 0.5 s. 0.8 m

The angular velocity of the disk is defined by ω=(7t2+4)rad/s, where t is in seconds. A) Determine the magnitude of the velocity of point A on the disk when t = 0.8 s . B) Determine the magnitude of the acceleration of point  A  on the disk when  t  = 0.8  s

A disk oscillates about its axis of rotation given by its angular acceleration of ∝ = -kθ. First determine the value of k for which,  w= 16 rad/s when θ = 0 and θ = 6 radians when w= 0. Then determine the angular velocity when θ = 1.2 radians.

The T-shaped body rotates about a horizontal axis through point O. At the instant represented, its angu- lar velocity is w = 3 rad/s and its angular acceleration is a = 14 rad/s2 in the directions indicated. Determine the velocity and acceleration of (a) point A and (b) point B. Express your results in terms of components along the n- and t-axes shown. %3D 0.4 m 30° -- B В A 0.1 m 0.1 m

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If the angular velocity of bar AB is 3rad/s, determine the velocity of block at C. AB = 2.0ft. Use absolute value for final answer

The angular velocity of the disk is defined by ω = (5t2 +2)  rad/s  where t is in seconds. Determine the magnitudes of the angular acceleration at a point 1 cm from the center of the disk when t = 0.5 s.   a. 7 rad/s2  b. 3.25 rad/s2   c. 0.21 rad/s2   d. 5 rad/s2

In the crank mechanism shown, if the arm AB rotates counterclockwise with angular velocity = 3 rad/s and angular acceleration = 4 rad/s2, determine the speed and acceleration of piston C at the instant shown. %3D 6m 5m

The rod is attached with ball-and-socket joints to smooth collars AA and BB at its end points. AA is moving upward at a constant speed of vAvAv_A = 6.6 ft/sft/s . The angular velocity of the rod is directed perpendicular to the axis of the rod.  Determine the magnitude of the velocity of BB at the instant shown Determine the xx, yy, and zz components of the angular velocity of the rod using scalar notation.

= At the instant shown rod AB has an angular velocity WAB 4 rad/s and an angular acceleration AB 2 rad/s2. Determine the angular velocity and angular acceleration of rod CD at this instant. The collar at C is pin connected to CD and slides freely along AB. = a) using the relative motion analysis and the contact conditions. A 4 rad/s AB= 2 rad/s² WAB 60° 0 = 0.75 m -0.5 m В B D