While the system shown is in equilibrium, a counter- clockwise torque T = To sin (wt) N-m (with To =226.6 and w =7) is applied to the disk. What is the disk angular speed %3D Wm = é in rad/s at time t = 4.2 sec? T rope viscous friction b I =0.2 kg.m?, 6 =7.8 N-m-s/r, k =1,504 N/m, r =0.52 m.

SECW OM A motorbike wheel with an 8 kg mass has a 0.4 m radius of gyration around the z-axis, as shown in Figure. The wheel's shaft is supported by bearings A and B and rotates at a constant rate of 150 rpm in a counter-clockwise direction from the z-axis, while the frame rotates at 12 rpm in a counter- clockwise direction from the y-axis. Determine the resultant reaction forces at each bearing A and B due to the mass and gyroscopic effects. With the result of forces, which bearing has a tendency to fail first, which bearing should be considered for design purposes and explain the effect on motor if the bearing fail. y 0.55 0.4 All dimensions in meter (m)

A brake test is carried out with a balance and a direct current motor. The purpose of this experiment is to calculate the torque on the motor shaft. The following values ​​were obtained in the experiment. U=220 volts., I=107 amps, n = 1200 rpm. The length from the axis of the motor shaft to the point where the brake lever presses on the scale is L=80 cm. and the weight read on the balance G = 20 Kg. is Accordingly, calculate the following values: a) the shaft power taken from the shaft of the motor, b) the electrical power drawn by the motor from the mains  c) motor total losses and  motor efficiency   Calculate

A motor (which is not shown in the figure) rotates the rod OB about the z-axis. The torque applied by the motor is given as T = 0.4 Nm. The rod OB is rotating at 3 rad/s at that instant which R = 0.4 m. And a rope attached to the slider A is let out at the constant rate of 0.25 m/s. What is the angular velocity after 10s?(Please neglect the mass of rod OB).

In the mechanism illustrated in the figure opposite, each of the two bars AB and BC has a mass of 10 kg. A constant torque of M = 100 N*m is applied to bar AB around point A. Both bars are initially at rest at the position shown. Neglect the size of the small roller at point C. a) Prove that the bar BC is in translational motion at the instant shown. b) Determine the horizontal and vertical reaction forces at point B and the vertical reaction force at point C. Answers: b) Bx = [83.34 N →]; By = [17.8 N 1] et Rc = [80.3 N ↑] 0.9 m B M 1.2 m C

For the mechanism shown in the figure, determine the torque TA required at crank AB to maintain static equilibrium of a 250-lb force FT acting on link 6 (E) when theta = -330 grades. The Dimensions are: h = 16, d = 20 and AB = 8 (inch units). d ΤΑ & c

4а. Show that the torque t = la, where I is the rotational inertia. Consider the pulley system shown in figure 4. Suppose the pulley is made up of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a. Find the moment of inertia I, of the pulley through the center of mass. 4b. Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, µk. You may assume that there is no slipping between the pulley and the rope and the mass of the rope is negligibly small in comparison with the mass M1, and M2. The coefficient of friction between M2 and the incline is µk with M1> M2. 4c. Mr md MK outer ving (Mr) Central dise (Ma) RI axis at RAzti on X- Sedi on a pullag

A wheel in fixed axis rotation spins at 300 rpm and decelerates at α = 3 rad/s2. How long does it take for the wheel to come to a complete stop?

3. For the diagram below, derive for the angular displacements of the rotating discs. GJ₁ L₁ M₁(t) 0₁ (1) >|< GJ₂ L2- M₂(t) 0₂(1)

Consider the disk and axle shown below. The axle has a constant angular velocity (in rad/s) in the inertial frame given by: A/N = 0.152 i. The disk has an angular velocity (in rad/s) in the axle frame given by: p/A 0.504 k . Calculate the magnitude of angular acceleration of the disk in the inertial frame (in rad/s?). N D