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The remote manipulator system (RMS) shown is used to deploy payloads from the cargo bay of space shuttles. At the instant shown, the whole RMS is rotating at the constant rate
Fig. P15.217
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Vector Mechanics for Engineers: Dynamics
- 3. The bar shown rotates about the z-axis. Find the velocity and accleration of point P for the instant when the angular aceleration is 4 rad/s² and angular velocity is 1.5 rad/s, both in the directions shown. Give your answers in terms of the given Cartesian coordinates. Note: This problem is trying to fool you. The position vector re must be normal to the axis of rotation, which is not from point O. α 0! 500 mm, p 50 mm 200 mmarrow_forwardThe disk A rotates about the vertical z-axis with a constant speed w = = π/3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate = 2/3 rad/s. At time t = 0, both 0 = 0 and y = 0. The angle is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R = 50+ 200t2, where R is in millimeters and t is in seconds. Determine the magnitude of the total acceleration a of P when t = 1/2 s. R (0) B P A Øarrow_forwardThe system has a pin-connected rod AB, rod BC and disk C. At the instant shown, the disc, with center C, rolls without slipping with an angular acceleration of 6 rad/s counterclockwise. If the velocity of C at this instant is 13 m/s to the left,a. what's the total acceleration of C (m/s^2)b. what's the angular acceleration of rod BC (rad/s^2)c. what's the total acceleration at point B (m/s^2)arrow_forward
- According to the rigid body system shown in figure below, describe type of motion of the collar C, link BC, and link AB. If the collar C slides with linear velocity and acceleration as shown, determine the angular velocity of rod BC, angular acceleration of rod BC, and velocity vector of point B at the instant shown. Vc = 3 m/s ac = 5 m/s² B -0.4 m- 0.6 m 60° 45°arrow_forward3arrow_forward1. A slotted link (horizontal at the instant shown) pivots about point C and is driven by a pin at point P located on the bar AB, which makes an angle of 0 = 35°, as shown. The distance from A to P is 24". At this instant in time, the distance from C to P is 18". If the angular velocity of bar AB is 2 rad/s clockwise, calculate a. The angular velocity vector of the slotted link. b. The velocity vector of the pin with respect to the slotted link. В C Aarrow_forward
- Q/ The dimensions of the links for mechanism as shown beside are: OA = 12 cm AC= 47 cm AB= 60 cm 55cm CD= 55 cm The link OA rotates at 942.5 rad/min and is pinned at A to road AB. The point C in the road is guided in circular path with D at center of DC as a radius. Determine the velocity of CD, sliding E and acceleration of E 22cm 60cmarrow_forwardRod AB is attached to the rotating arm using ball-and-socket joints as shown in (Figure 1). AC is rotating with a constant angular velocity of WAC = 8.5 rad/s about the pin at C. Assume d = 5 ft. Figure 2 ft 1.5 ft 3 ft B do @AC 1 of 1 Part Determine the components of the angular velocity of link BD at the instant shown. Enter your answers in radians per second to three significant figures separated by commas. (WDB)x, (WDB)y, (WDB)z = Submit Provide Feedback Request Answer VE ΑΣΦ ↓↑ vec ? rad/s Next >arrow_forward60°- 401 45° PROB. 4-3. B m X 4-3. The motion of the rigid body m is such that the point A moves in a circular path of 1-in. radius about a fixed axis C located at the left of A. The absolute linear velocity of A, represented by the vector Aa₁, is 1.5 ips. The linear velocity of A is decreasing at the rate of 1 in./sec². B has constrained motion along the line XX. Draw the velocity polygon to a scale of K₂ = 1 ips = 1 in./sec2. Determine the and the acceleration polygon to a scale of Ka absolute linear velocity of B, the absolute linear accelerations of A and B, and the absolute angular velocity and acceleration of m. 1 of 3 ad /secarrow_forward
- The flywheel shown in the figure is pinned at its center and for the instant shown rotates with an angular velocity w=5 rad/s and an angular acceleration a=8 rad/s². (Figure 1) 0.3 m 0.4 m The flywheel shown in the figure is pinned at its center and for the instant shown rotates with an angular velocity w=5 rad/s and an angular acceleration a=8 rad/s² (Elgure 1) Figure 1 of 1 > Figure 0.3 m 0.5 m 0.5 m 0.4m Part A Determine the angular velocity of link AB at this instant Express your answer in radians per second to three significant figures. ΑΣΦΗ vec l → C WAB rad/s Submit Request Answer Part B Determine the angular velocity of link BC at this instant Express your answer in radians per second to three significant figures. → [5] ΑΣΦ | 11 | vec ? Determine the angular acceleration of link AB at this instant Express your answer in radians per second squared to three significant figures. VE] ΑΣΦΗ vec 9 QAB rad/s² Submit Request Answer Part D Determine the angular acceleration of ink BC at…arrow_forwardThe system shown moves so that the acceleration of point B in the position shown is ag = -5i {m/s²}. Also, the angular velocity of bar BC is known to be 5 rad/s clockwise. Find the acceleration of the slider block C. (Note that the next question is related to this one.) y WAB WBC 1 m Taylor T e а. ac = -25.42i {m/s²} b. ac = 41.07i {m/s²} 1 m A 30° a. ac = -25.42i {m/s?} b. ac = 41.07i {m/s?} C. ac = -15.65i {m/s²} d. Te a ac = -45.73j {m/s?} е. ac = -33.87i {m/s²}arrow_forwardSolve the following problem using both analytical(vector or scalar) and graphical (IC center)methodsarrow_forward
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