The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 4.8 m/s², v = 3.2 m/s, b = 0.7 m, 0 = 43⁰. a A B V y | | L--x

The disk in Figure, rotates about a fixed axis throughO with angular velocity ω =5 rad/sec and angularacceleration α = 3 rad/sec2in the directions shown at acertain instant. The small sphere A moves in the circularslot, and at the same instant, β = 30°, ?̇ = 2rad/sec, and?̈ = - 4 rad/sec2. Determine the absolute velocity andacceleration of A at this instant.

4. 4) The hydraulic cylinder Dextends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions/₁ 1.0 ft, and /2 = 2.0 ft, vµ = 5.5 ft/s, aµ = 2.1 ft/s², and the angle 0 = 30°, determine the angular acceleration (in rad/s²) of rod ABC. Negative sign must be included if the angular acceleration is clockwise. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: 1₁ Answer B 12 ÏÏ a =

At the instant shown, the shaft and plate rotate with an angular velocity of 14 rad/s and angular acceleration of 7 rad/s?. Determine the speed and acceleration of point D, located in the corner of the board right now. Express the result in the form of a Cartesian vector. 0.6 m 0.2 m 0.4 m 0.3 m 0.3 m 0.4 m

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s². (Figure 1) Figure X D 0.4 m B 0 0.4 m a 0.3 m < 1 of 1 0.6 m 0.2 m C 0.3 m Part A Determine the velocity of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the velocity in meters per second to three significant figures separated by commas. ► View Available Hint(s) (UD), (UD)y, (UD) z = 6.51,4.89,1.63 m/s Submit Previous Answers ✓ Correct Here we learn how to determine the velocity of a point on a rigid body revolving with an angular acceleration about a fixed axis in three dimensions. Part B Determine the acceleration of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the acceleration in meters per second squared to three significant figures separated by commas. ► View Available Hint(s) (ap)z, (ap)y, (ap)₂ = [Π ΑΣΦ | ↓↑ vec Submit Previous Answers X Incorrect; Try…

2 B 45° 3 PROB. 4-7. 4-7. Q₂B = 1 in.; BC = 3 in. w2 = A by the relative acceleration method. 1 rad/sec, constant. Find the vector for

3 Problem A hydraulic cylinder rotates around point O at a constant rate 60 deg/s and the cylinder length L is decreasing at a constant rate L = -150 mm/s. Determine the magnitude of velocity and acceleration of the endpoint B when L = 125 mm. Assume that d = 375 mm. d 0 B

The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.5 m/s², v = 2.3 m/s, b = 0.4 m, 0 = 40°. Answers: VA = i+ i j) m/s i + i j) m/s² ag = i (i

The right-angle bar rotates clockwise with an angular velocity which is decreasing at the rate of 4 rad/s2.  Write the vector expressions for the velocity and acceleration of point A when w = 2 rad/s.

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