Question: At The Instant QA = 5 Rad/S, Pulley A Is Given A Constant Angular Acceleration A = 6 Rad/S... At the instant wA = 5 rad/s, pulley A is given a constant angular acceleration a = 6 rad/s². Determine the magnitude of acceleration of

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4. A weight, attached to a cord, is travelling on a smooth circular table. A cord is pulling the weight radially inward with a constant velocity of 5 cm/s. There are no forces in the 8-direction, so a = 0. 0 = 10 rad/s r=20cm 5 cm/s a. At the time shown on the figure, what is the radial component of acceleration? b. What is the angular acceleration, ö, of the block? (Hint: a = 0, but 0 +0)

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 =

A portion of a steam locomotive is shown below. If the locomotive is moving to the right at a constant speed of 45 mph, (a) what is the linear and angular velocity of point B, and (b) what is the linear and angular acceleration of point B, given that the wheels are 50 inches in diameter, length AC = 10 in, length AD = 55 in, and B is half way between A and D.

2. The gear A on the drive shaft of an outboard motor has a radius of ½ inch while the meshed pinion gear on B has a radius of 1% inches. If the drive starts from rest and is accelerated at a constant a = 200 rad/s², what is the speed, tangential acceleration, and normal acceleration at point P on the propeller after 3 seconds. 2.20 in

For 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

The following figure shows how a mechanical actuator works. Determine the angular acceleration of bars AB and BC.

A cylinder of radius 7 = 0.2 m is about to start rolling down an inclined plane. The acceleration of the center of the cylinder is 9.81 sin(0) m/s?. The angular acceleration is 9.81 sin(0)/r rad/s?. Assume 0 = 0.8 rad. What is the magnitude of acceleration of the point on the cylinder furthest from the inclined plane in m/s?. Hint: Since it is about to start rolling, the velocity of the center of the cylinder and angular velocity of the cylinder are still zero at that instant. You Answered 0.2739 Correct Answer 14.075 margin of error +/- 2%

Advanced Applied Mathematics - Circular Motion 1. When an airplane touches down at 1 = 0, a stationary wheel is subjected to a constant angu- lar acceleration a = 110 rad/s until / = 1 s. (a) What is the wheel's angular velocity at t = 1 s? (b) At 1 = 0, the angle 0 = 0. Determine 9 in radians and in revolutions at / = 1 s. 2. A small box B of mass mkg is placed on a rough horizontal rotating disc. B is metres from the centre of rotation as shown in Fig. 1 below. The coefficient of friction between the disc and B is u. Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping. 3. One end of a light inextensible string of length L metres is attached to a fixed point C. A small brass hall Ro