A mechanical drive is rotating at a uniform clockwise speed of 2 rad/s when a variable torque is applied to the input shaft at time t = 0. As a result there is a clockwise angular acceleration a which increase in direct proportion to the angle 0 through which the drive turns from the instant t = 0 . After 16 complete revolutions from this time the angular acceleration is 4 rad/s?. Determine the angular velocity wof the drive when this condition is reached. [Answer: 20.2 rad/s]

The rotor of the electric motor rotates at a rated speed of n = 2500 rotatons / minute. Then, at t = 0, it started to be braked dynamically with a delay of 12 rad / s ^ 2 to a speed of 200 rotation / minute, and then the rotor was accelerated by 4 rad / s ^ 2 for the next 10s. Draw the end position, angular velocity and angular acceleration of this rotor. Enter the number of revolutions made by such a rotor in such a movement.

A variable torque is applied to a rotating wheel at time t = 0 and causes the clockwise angular acceler- ation to increase linearly with the clockwise angular displacement 0 of the wheel during the next 30 revo- lutions. When the wheel has turned the additional 30 revolutions, its angular velocity is 90 rad/s. Deter- mine its angular velocity wo at the start of the inter- val at t = 0.

For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. Gear A on the drive shaft of the outboard motor has a radius rÃ=8 in. and the meshed pinion gear B on the propeller shaft has a radius r=50 in. The point P is located on the propeller's tip at a distance 10 in. from the neutral axis of the propeller's shaft. B At the beginning of the propulsion, the drive shaft rotates with an angular acceleration a = what must be the value of A to have, while starting from rest, vp=28 in.s¹ in 8 seconds ? A. t2.3 rad.s2 where t is in seconds.

Sample Problem 5/1 A flywheel rotating freely at 1800 rev/min clockwise is subjected to a variable counterclockwise torque which is first applied at time t = 0. The torque produces a counterclockwise angular acceleration a = 4t rad/s2, where t is the time in seconds during which the torque is applied. Determine (a) the time required for the flywheel to reduce its clockwise angular speed to 900 rev/min, (b) the time required for the flywheel to reverse its direction of rotation, and (c) the total number of revolutions, clockwise plus counterclockwise, turned by the flywheel during the first 14 seconds of torque application. CW Solution

3. 7 Fig. 3-8 shows a cam mechanism. AB = 1, the radium of the cam is R,0A = h , LOAB = 90°, the angle velocity of the cam is w, determine the angle velocity and angle acceleration of the follower 2. Fig. 3-8

Find the velocity of the slider D and the angular velocity of link CD for the engine mechanism shown in Fig. The crank O1A rotates at a uniform speed of 25 rad/sec in the counter clock wise direction. The various lengths of the given mechanism are. O1A =0.5 m, AB =1.0m, O2B =0.22m, BC =1m and CD =1.22m. 0.6 m 0.6 m D C 50° A 1.0 m B.

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Crank 2 (link 2) of the system illustrated in the figure below a constant speed of 60 rev/min ccw. Find the velocity and acceleration of point B and the angular velocity and acceleration of link 4 (link 4 is BO4). Link-2 is AO, and link-4 is BO4. Link-3 is sliding on link-4. = 120 mm, RA0, = 70 mm, RB0, = 280 mm. Ro,02 %3D W2 4 O2 15° 3

PROBLEM 2 For the mechanism, shown on the figure, @nc = const=5s. O4-BC-0,3 m. AB 0,6 m. Determine: a) velocity and acceleration of the point B: b) angular acceleration of the body BC: c) angular velocity and angular acceleration of the body O4: d) linear velocity and acceleration of the point 4. 120