*20-4. The ladder of the fire truck rotates around the z axis with an angular velocity of w = 0.15 rad/s, which is increasing at 0.2 rad/s. At the same instant it is rotating upward at w, = 0.6 rad/s while increasing at 0.4 rad/s. Determine the velocity and acceleration of point A located at the top of the ladder at this instant. 30° 40 ft

a - 12 rad/s 16-3. B The disk is originally rotating at e, = 12 rad/s If it is subjected to a constant angular acceleration of a = 20 rad/s, determine the magnitudes of the velocity and the n and f components of acceleration of point A at the instant t = 2s 04 m 0.5 m-A

4. Rod AB is attached to collars at its ends by ball- and-socket joints. If the collar A has a velocity of VA = 3 ft/s. determine the angular velocity of the rod and the velocity of collar B at the instant shown. Assume the angular velocity of the rod is directed perpendicular to the rod. 4 ft 2 ft B 3 ft/s A 4 ft y

The hoop is cast on the rough surface such that it has an angular velocity w = 3 rad/s and an angular acceleration a = 5 rad/s2. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s2. Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis. L. AY ao vo 45° 0.3 m Select one: O A. aB = 9.29 m/s2; and 0 = 151.34° O B. aB 6.86 m/s; and 0 = 160.12° O C. aB = 5.04 m/s2: and0= 170.31° OD. ap = 7.81 m/s2; and 0= 162.62° 1:08 PM O 4)) G ENG 4/17/2021

A motor gives gear A an angular acceleration of αA=0.006θ^2 rad/s2, where θ is in radians. If this gear is initially turning at ωA=10 rad/s, Determine the angular displacement of gear A at the instant at which gear A reaches angular velocity of 35 rad/s. Determine the angular velocity and acceleration of gear B at this instant.   Find the magnitude of acceleration of point P on the pitch circle of gear B at this instant.

At the instant shown, pin A has a velocity of v a = 4i– 3j m. Determine the angular velocity vector of rod АB in rad at this instant. At this instant, rod AB is in the horizontal direction. Consider r = 1.1 meters and a = 30°. 2r y

The vertical rod has a downward velocity v = 1.6 ft/sec and an upward acceleration a = 4.7 ft/sec? when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller Bif R = 19 in. A 1.35R 29° B Answers: a = i -13.97 rad/s2 aB = i ft/sec? -29.85 !!

The disk rotates about the shaft SS, while the shaft is turning about the zz axis at a rate of ωzωzomega_z = 6 rad/srad/s , which is increasing at ααalpha = 2.5 rad/s2rad/s2 . No slipping occurs. Determine the xx, yy, and zz components of the velocity of point BB on the disk at the instant shown using scalar notation. Determine the xx, yy, and zz components of the acceleration of point BB on the disk at the instant shown using scalar notation.