All arms of porter governor are 18 cm long and hanged at a distance of 4 cm to axis of rotation. The mass of ball 2 kg, and the mass of sleeve 30 kg. Determine minimum radius of rotation and the friction force at the minimum speed of governor 5 r.p.s. when the upper arms are at an angle of 30°with vertical and the lower arms are at an angle of 25°with vertical.

A box with mass m is on a frictionless inclined ramp, as shown. The ramp has an angle of θ with respect to the horizontal.  The ramp is firmly attached to the inside of a car. The car is traveling to the right, and is slowing down. The car has a constant acceleration with magnitude a.  You observe that the box doesn’t slide up or down the ramp.     What is the angle of the ramp? Write your answer in variables, using only m, g, and a. This problem should be solved using the “recipe” taught in class. Focus Draw a free body diagram Identify the direction of the acceleration Write Newton's 2nd law (F=ma) Solve for unknowns  Suppose that the driver now presses harder on the brakes. Would the box slide up the ramp, or slide down the ramp? Or would it not slide at all? No calculation required, but very briefly (one or two sentences) justify your answer. Draw a simple diagram if it helps!

Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)

A centrifugal clutch has four shoes, each of mass 0·35 kg. When at rest, the radialclearance between the shoes and the clutch drum is 15 mm and the radius to the centre ofgravity of the shoes is 225 mm. The shoes are held on retaining springs of stiffness 10kN/m and the internal diameter of the clutch drum is 600 mm. The coefficient of frictionbetween the drum and the shoes is 0·3.Determine:(a) The speed (in rev/min) at which the clutch starts to engage. For a rotational speed of 1200 rev/min:(b) The force each shoe exerts on the drum. (c) The torque transmitted. (d) The power transmitted.