At the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is subjected to a couple moment M= 320 N-m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m В А 0.4 m' G 0.4 m D C M Your Answer: Answer units

2. A cord is wrapped around a homogeneous disk of radius r = 0.5 m and mass m = 14. 25 kg. If the cord is pulled upward with a force T of magnitude 171 N, determine a. the acceleration of the center of the disk, b. the angular acceleration of the disk, c. the acceleration of the cord. T 0.5 m Go A Draw the Free Body Diagram.

Each propeller of the twin-screw ship develops a full-speed thrust of F= 395 kN. In maneuvering the ship, one propeller is turning full speed ahead and the other full speed in reverse. What thrust P must each tug exert on the ship to counteract the effect of the ship's propellers? Assume a = 47 m, b = 118 m, C= 14 m.

The girl has a mass of 45 kg and center of mass at G. (Figure 1) Figure B 2m 0 30° 30° 1 of 1 Part A If she is swinging to a maximum height defined by 0 = 60°, determine the force developed along each of the four supporting posts such as AB at the instant 0 = 0°. The swing is centrally located between the posts. Express your answer to three significant figures and include the appropriate units. F = Submit μА Value Provide Feedback N Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining Next >

The uniform slender bar has a mass of 7 kg. If the spring is unstretched when Ⓒ = 0º, determine the magnitude of the reaction force exerted on the bar by pin A when = 45°, if at this instant w = 7 rad/s. The spring stiffness is k = 150 N/m. A 800 mm k = 150 N/m B

The motor lifts the 40-kg  crate with an acceleration of 6 m/s2 as shown in (Figure 1). Part A: Determine the x and y components of force reaction at the fixed support A using scalar notation. Express your answers in newtons to three significant figures separated by a comma.   Part B:  Determine the couple moment at the fixed support A. Express your answer in kilonewton meters to three significant figures. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise.

The uniform 50-kg sphere has radius r = 0.2 m and is welded to the center of the uniform 30-kg shaft as shown. When a constant couple moment M is applied to the shaft, its angular velocity reaches 74 rad/s after 4 s. Determine the magnitude of the moment M. Write your answer in N.m but do not write the units. M R= 0.1 m Taylor e m Te am Answer: Answer

The shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spool

The pavement compactor is traveling down the incline at VG = 5 ft/s when the motor is disengaged. The body of the compactor, excluding the rollers, has a weight of 8000 lb and a center of gravity at G. Each of the two rear rollers weighs 400 lb and has a radius of gyration of KA = 3.3 ft. The front roller has a weight of 800 lb and a radius of gyration of kg = 1.8 ft. The rollers do not slip as they rotate. (Figure 1) Figure 3.8 ft 5 ft A GT 10 ft 1 of 1 30 730 ▼ Part A Determine the angular velocity of the roller B when the compactor has traveled 16 ft down the plane. Express your answer in radians per second to three significant figures. WB = Submit IVE ΑΣΦ | Η Provide Feedback Request Answer P Pearson vec ? rad/s Next >

The speed of the pickup truck’s engine is controlled by the Porter governor with4 arms of equal length, and pivot on the axis of rotation. Each ball has a massof 4 kg and the mass of the central load on the sleeve is 20 kg. The radius ofrotation of the ball is 150 mm when the governor begins to lift, and 200 mm whenthe governor is at maximum speed. The initial angular speed of the engine’scrank is 14 rad/s, and it has reached a maximum speed at an acceleration of 0.4rad/s2 after 5 seconds. 2.1. If the speed of the crank of an engine is equal to the speed of its governor,calculate the angle between the upper arm and axis of rotation (?) when thegovernor starts to lift and when it is at maximum speed.(11)2.2. Prove that the length of the governor’s arms is equal.