Given: The piston rod of the hydraulic cylinder C imparts a constant acceleration to pin A of a4 = 0.1 m/s? (downward). At the instant when 0 90°, the speed of A is known to be va = 0.4 m/s (upward). Find: Determine, at this instant: (a) The angular velocity of link AB; (b) The angular velocity of link OB; (c) The angular acceleration of link AB; and (d) The augular acceleration of links OB. 500 mm B
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- 3) Link AB of a robotic arm is rotating at a constant speed of 4 rad/s, while link BC is rotating at 5 rad/s, a speed that is increasing at the rate of 2 rad/s². Find the magnitudes of the velocity and acceleration of point C when AB is vertical and BC is horizontal, as shown here. 2.0 ft 1.5 ft B WAB A WBC = 5 rad/s αBC = 2 rad/s² = 4 rad/s CThe following diagram shows a piston moving in a cylinder with rod AB. Point B is rotating clockwise with an angular velocity of w. cylinder piston A connecting rod crank bearing B ResearchGate The motion of B is given by the equation r = C cos(wt) + Dsin(wt) Were r is the horizontal +vertical distance of B from O, and C, D are constants. For C=D=42mm and w = 20 rad/s. (i) Write r in the form Rcos (wt ± ß) and state the amplitude and period of r. (ii) Sketch one complete cycle of r. (iii) Explore the differences between the derived form and drawn form+ G In the above diagram, the wheel starts from rest and rolls without slipping. The force (you don't need the value) causes a constant angular acceleration of 7.112 rad/s2. The radius of the wheel is R - 0.392 m. What is the magnitude of the acceleration of the point at the top of the wheel at time t 1.400 s? This is the point at the outer edge directly above the center of gravity, Gwhere the force F connects to the wheel. Use units of m/s. Don't place units in your answer, 3 o
- Q1. Member AB is rotating (about fixed point A) with angular velocity (@ = 1 rad/sec) and angular acceleration (a = 2 rad/sec?) and driving the link CD (rotating about fixed point D at constant velocity) as shown in figure. Select five right answers. (a) Tangential Acceleration (a:) of link AB will not be zero (b) Tangential Acceleration (a) of link AB will be zero D 450mm (c) Tangential Acceleration (a,) of link CD will not be zero 200 mm 100 mm 60 H (d) Tangential Acceleration (a,) of link CD will be zero (e) All points on link CB will have same linear velocity 0 All points on link CB will have same angular velocity Formula • Tangential acceleration of a rotating link -ra • Radial (normal) acceleration of a rotating link = v³ /r= wr velocity of a rotating Ink (v) = r.w (g) Angular acceleration (a) for link CD will be zero (h) Angular acceleration (a) for link CB will not be zero Q2. Magnitude of linear velocity of any point “H" located at the half of the length of a rotating link CB…4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,1. A pancake body rotates about a fixed origin. Relative to that origin, a point A at FA = az on the object has instantaneous velocity VA = voŷ. At the same instant, a point B at FB = ay has instantaneous velocity UB = -002. (a) What is the angular rotation vector at that instant? (b) What is the velocity of point C at the location c = (+2)? 2. Find the angular momentum vector (magnitude and direction) of the point C in Problem 1 with respect to point B, assuming the point C has a mass m.
- In a certain slides-crank mechanism, lengths of crank aid commenting rod are equal. If the crank rotates with a uniform angular speed of 14 rad/s and the crank length is 300 mm, the maximum acceleration of the slider (in m/s²) isA flywheel is mounted with a fixed axis of rotation through 0, a constant as shown. It starts at rest (w₂ = 0), and is given COW angular acceleration <= 0.8 rad/s². Find, after At = 1.8s, 5 ) the position angle , velocity (mag and direc), and acceleration (mag and direc) of the point A on the flywheel (shown in its initial position).For my exam reviewer: (DYNAMICS) A flywheel has its angular speed increased uniformly from 18 rad/s to 75 rad/s in 80 s. If the diameter of the wheel is 3.5 ft, determine the magnitudes of the normal and tangential components of acceleration of a point on the rim of the wheel when t = 80s, the magnitude of the acceleration, and the total distance the point travels during the time period. Find: total distance (in ft) *Do show full solution. Thank you so much.
- Graphically, draw the entire acceleration polygon and use it to find both the magnitude and direction of a and ace at the instant shown. Also, find magnitude and direction of a2, a3 and 4 when a) The crank angular velocity w₁ is constant at 100 rad/sec CCW. b) The crank angular velocity w3 is 100 rad/sec CCW and accelerating at 25000 rad/sec² Velocity scale: 1 cm: 20 in/sec Acceleration scale: 1 cm: 4000 in/sec² B 0 0 = 45° 7 in 0₂C = 4 in O₂D = 6 in 0,03 = 6 in 2 in1. The wheel starts rotating from rest, 3) if its angular velocity W as a function of angular position is w=0.2-0², where is in radian, and its radius ris 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s²) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer PFor the following mechanism, rod AB is pinned to the two disks at point A and point B, and the two disks roll to the left without slipping. if the length of rod AB, I= 2.4 m, and its angular velocity @ = 6.2 rad/s, determine the magnitude of the linear velocity of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. (0.5 m 0.5 m No slipping No slipping Your Answer: Answer units