4) The cart has a mass of M, each of the four wheels are discs each with a mass of m/2. The front wheels and their axle are rigidly connected. The rear wheels and their axle are also rigidly connected. If the axles are smooth, determine the velocity of G (the cart's center of mass) as a function of time. Assume that the system starts from rest and that there is enough friction present to prevent the wheels from slipping. M 0° 2 m (each of 4)

The 13-kg wheel is rolling under the constant moment of M= 89 N·m. The wheel has radius r= 0.47 m, has mass center at point G, and the radius of gyration is kG = 0.28 m. The coefficients of friction between the wheel and the ground is ls = 0.26 and uk = 0.15. If the wheel rolls while slipping, determine the angular acceleration of the wheel (in rad/s2). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. M Your Answer: Answer

A2 Mg car has its mass with center at G. Calculate the acceleration of the car if u_k between the road and the wheels is 0.25. The wheel at point A are freely rotates and the driving wheels at point B are slipping. The mass of the wheels is small compared with the total mass of the car. 0.3m 1.25 0.75

Q1. The base B has M (unit kg) a radius of gyration of K (unit meter) and is initially rotating freely about its vertical axis with a speed of N rad/sec and with the rods latched in the vertical positions. If the latches are released, calculate the new rotational speed N of the assembly, when the rods get to the horizontal positions. Each of the two uniform slender rods A has a mass of m (unit kg) and length of L (unit meter) and is hinged at its end to the rotating base B. b b. NT B

The arms of a Porter governor are each 250 mm long and pivoted on the governor axis. The mass of each ball is 5 kg and the mass of the central sleeve is 30 kg. The radius of rotation of the balls is 150 mm when the sleeve begins to rise and reaches to certain radius at maximum speed. The governor has radius that is 175 mm at mid position. The speed range of the governor is 38 rpm, and the increment in speeds is constant in the three positions. Find : (1) the friction of the load which existed at the sleeve, and (2) the governor radius at maximum speed. The friction is ignore in mid position only.

The thin rectangular block is supported at its corners by small rollers resting on smooth horizontal surfaces. If b=0.5 m and h= = 0.3 m, calculate the magnitude of the angular acceleration of the block at the moment when the supporting surface at B is suddenly removed. Present your answer in rad/sec² using 3 significant figures. AC B

A Porter governor has equal arms each 250 mm long and pivoted on the axis of rotation. Each flyball has a mass of 10 kg and the mass of the central load on the sleeve is 50 kg. The radius of rotation of the flyball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Find the range of speed, when the friction at the sleeve is neglected. Select one: A. 35.4 rpm B. 25.4 rpm C. 15.4 rpm D. 45.4 rpm

3. In the diagram below, a force P of 750 N is applied to the 350 kg block. Find the acceleration of the block and the reaction forces at contact points A and B if the coefficient of kinetic friction between the block and surface is 0.15. 700 mm 700 mm 300 mm 300 mm 400 mm 500 mm'500 mm

Part A The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m. The forked rod is rotating with an angular acceleration of 0 = 2 rad/s as shown in (Figure 1), and when 0 = 45°, the angular velocity is 6 = 6 rad/s. Determine the force the cam and the rod exert on the 1.8-kg roller at this instant. The attached spring has a stiffnesss k = 100 N/m and an unstretched length of 0.1 m. Express your answers in newtons using three significant figures separated by a comma. ? Neam, Frud = N Submit Request Answer Figure 1 of 1 Provide Feedback Next >

(a) Find the final speed V of the center of mass of the wheel once the wheel starts moving.