The 200MM Y 1.2KG connecting rod and the 1.5kg P piston are connected through the mechanism shown. The 90mm AB crank rotates at a constant 1200 rpm counterclockwise. Determine when θ = 40 °, the reactions in joints B and D, do not consider friction between the cylinder and the piston P

The figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 16.6 lb per foot of stretch and is undeformed when 8-0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: @max 4.2¹ rad/sec at 8-i

The 10-kg wheel is rolling under the constant moment of M = 97 N-m. The wheel has radius r= 0.59 m, has mass center at point G, and the radius of gyration is kg = 0.27 m. The coefficients of friction between the wheel and the ground is ls = 0.25 and Hk = 0.14. If the wheel rolls while slipping, determine the magnitude of the linear acceleration of point G (in m/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/s?. M G

The mechanism shows two identical 2-kg bars that are 0.15 m long each. They are hinged together at the lower ends and are supported at the upper ends by small rollers of negligible mass which roll on a horizontal rail. Determine the steady state angle assumed by the bars when they are accelerating under the action of a constant horizontal force FN. Also, find the forces on the rollers at A and B as well as the reactions at the hinge C. Take the value of the force F is equal to 123.45 Newtons.

A 20kg slender rod AB is pinned to a roller at A that slides freely along the slot as shown in the figure below. The rod is released from the rest at an angle of 30. At the same time, a couple moment of M = 5 N.m in clockwise direction is applied at its centre of gravity. If immediately after the release the acceleration of the roller at A is 43m/s, determine the reaction forces at the pin connection at Point A.

The 15-lb bar BC is connected to a disk centered at A, and to a bar DC. If the disk is made to rotate at a constant speed of 180 rpm, determine the vertical components of the force exerted on bar BC at B and at C.

Determine the magnitudes of all pin reactions for the frame loaded as shown.Assume F = 690 N, a = 625 mm, b = 275 mm, θ= 34°, and ϕ= 59°.

➡ Listen Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is = 0.22. Take g = = k = 2 kN/m A 10 m 45° 9.81 m m/s². (1) Apply the principle of work and energy to determine the speed (in the unit of m/s)

4. A uniform disc of mass m = 3 kg and radius R= 0.5 may roll without slip on the 30 degree incline shown. An elastic spring of stiffness k= 100 newtons/meter is connected to the center C of the disc. Initially, the disc is held in place in the position shown, with the spring neither stretched nor compressed and with the disc at rest. At t = 0 the disc is released and is subjected to a constant force of Fo = 30 newtons along the incline. Determine the maximum speed achieved by the disc center C as the disc moves up the incline. For gravity use g = 10 m/sec². (note: initially the constant force Fo will be greater than the forces exerted by the spring and by gravity, and the disc will accelerate up the incline; but there will come a distance x along the incline after which the spring force + gravity will overtake the force Fo, and the disc will then decelerate). gravity Fo= 30 N 30° no friction

The 214-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 94 N•m, it starts rolling from rest. Determine the average friction force that the ground applies to the wheel if it has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². M Your Answer: Answer units