Q. A centrifugal clutch has 4 shoes which slide radially in a spider keyed to the driving shaft and make contact with the internal cylindrical surface of a rim keyed to the driven shaft. When the clutch is at rest, each shoe is pulled against a stop by a spring so as to leave a radial clearance of 5 mm between the shoe and the rim. The pull exerted by the spring is then 500 N. The mass centre of shoe is 160 mm from the axis of the clutch. If the internal diameter of the rim is. 400 mm, the mass of each shoe is 8 kg, the stiffness of each spring is 50 N/mm and the coefficient of friction between the shoe and the rim is 0.3. Find the power transmitted by the clutch at 500 r.p.m.

Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’.  Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m.  The coefficient of friction of the material attached to the shoes is 0.35.  The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum.  The outer drum has a wall thickness of 4 mm.   Question 1 a. Determine the engagement speed of the centrifugal clutch.  You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.  b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.  c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?    Please note the equartions…

Q3/ A three - throw cranks shaft has double webbed cranks of 150 mm radius set at 120° to each other and equally spaced with a pitch of 500 mm. the rotating masses at crank radius are: No. 1, 30 kg ; No. 2, 40 kg ; No.3, 40 kg. Balance is to be effected by a balance mass attached to the outside web of crank No.1, with a cntre of mass 150 mm from the central plane of the crank and a radius of 225 mm from the centre of the shaft; and also by removing material, at a radius of 750 mm, from a wheel fixed 750 mm beyond the central plane of crank No.3. Determine the masses to be fitted and removed and their angular positions relative to crank No.1.

Flywheels A and B are mounted on light coaxial shafts which can be coupled by means of the clutch C, as shown in the figure. The value of the inertia IA is known to be 1.6 kg m² , but the value of the inertia IB is unknown. The friction plates of the clutch C are initially disengaged, and the angular velocities of A and B are respectively, w A1 = 3160 rev/min and @ B1 = 1020 rev/min in the same direction. A B C IA IB WĄ1 WB1 Determine the moment of inertia of flywheel B if the flywheels attain a common speed of 1720 rev/min after the clutch is engaged and slipping has ceased. Insert your answer correct up to at least a third decimal place.