Chapter 12, Problem 190P

Please help with the attached problem

The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations. H.W 2 rad/s? w = 3 rad/s Ans: 0.2 m -0.3 m- 30° -0.3 m VA = 0.3i m/s a = -0.9k – 0.2i m/s? (a)

The body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1 s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²) ω, α y = d x A

The plate OAB forms an equilateral triangle with sides of S = 225 mm which rotates counterclockwise with increasing speed about point O. If the normal and tangential components of acceleration of the centroid C at a certain instant are 118 m/s? and 43 m/s², respectively, determine the value of de/dt in rad/s at this same instant. The angle e is the angle between line AB and the fixed horizontal axis. В C.

At the instant shown, the shaft and plate rotates with an angular velocityof ⍵ = 14 rad/s and angular acceleration of ? = 7 rad/s^2. Determine the velocity andacceleration of point D located on the corner of the plate at this instant. Express theresult as a Cartesian vector.

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. A 0.8 m

The sphere P travels in a straight line with speed v = 15.6 m/s. For the instant depicted, determine the corresponding values of r and as measured relative to the fixed Oxy coordinate system. Assume x = 6.7 m, y = 4.5 m, p = 31°. K Answers: r = 0 = i X 14.125 -0.82032 V P 91 m/s rad/s

The bar is confined to move along the vertical and inclined planes. If the velocity of the roller at A is vA = 12ft/s when 0 = 45°, determine the bar's angular velocity at this instant. (Figure 1) Express your answer with the appropriate units. Assume the counterclockwise rotation as positive. µA Value rad /s W = Determine the speed of B at this instant. Express your answer with the appropriate units. 5 fy HA ? 30 Value ft/s UB =

At the instant shown, the tower crane rotates about the z axis with an angular velocity wi = 0.18 rad/s, which is increasing at 0.5 rad/s². The boom O A rotates downward with an angular velocity w2 = 0.4 rad/s, which is increasing at 0.7 rad/s². (Figure 1) Figure 1 of 1 40 ft 30° x wz = 0.4 rad/s