Two parallel shafts 5 m apart are connected by open flat belt drive. The diameter of the bigger pulley is 1.5 m and that of the smaller pulley 0.75 m. The initial tension in the belt is 2.5 kN. The mass of the belt is 1.25 kg/m length and coefficient of friction is 0.25. Taking centrifugal tension into account, find the power transmitted, when the smaller pulley rotates at 450 rpm
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- Q2 A flat belt type is used for a belt drive system connecting two pulleys 1.2m apart. The driver pulley with diameter 40 cm is rotating with the speed 350 rpm, while diameter of driven pulley is 100 cm. Coefficient of friction of the contact surface between belt and pulley is 0.3. Maximum allowable tension is 600N. (i) Find the power transmitted by the belt, P. (ii) Determine the Initial tension of the belt, TA. (iii) If the flat belt is now replaced by a Vee-belt with groove angle of B = 30°, find the power transmitted by this belt. Give explanation why power transmitted by flat and Vee-belt type are not the same. Explain your answer according to basic friction concept.A dictionary is pulled to the right at constant velocity by a 10 N force acting 30° upward above the horizontal. The coefficient of kinetic friction between the book and the horizontal surface is 0.5. What is the weight of the book?An engineer is designinga conveyor system for loading haybales into a wagon (Fig.).Each bale is 0.25 m wide, 0.50 mhigh, and 0.80 m long (the dimensionperpendicular to the plane ofthe figure), with mass 30.0 kg. Thecenter of gravity of each bale is atits geometrical center. The coefficientof static friction between abale and the conveyor belt is 0.60, and the belt moves with constantspeed. (a) The angle b of the conveyor is slowly increased. At somecritical angle a bale will tip (if it doesn’t slip first), and at some differentcritical angle it will slip (if it doesn’t tip first). Find the twocritical angles and determine which happens at the smaller angle. (b)Would the outcome of part (a) be different if the coefficient of frictionwere 0.40?
- A tractor is now drafted in to move the blo ck. The weight of the tractor is equally distributed over all four wheels and it pulls on the blo ck via a rope with tension T. The back wheels have a diameter of 1.6m and the front wheelshave a diameter of 80cm. The tractor motor generates a torque of τ on each of its back wheels that have radii Rb and masses mb. The front wheels of the tractor are smaller than the back wheels and have radii Rf and masses mf. Both sets of wheels can b e treated as uniform solid disks with moment ofinertia I = 1/2mR2. The mass of the tractor body, without the wheels, is M. If the wheels don't slip, show that the tractor can accelerate the block with an acceleration of (see image)Sample Problem 2. An object with a certain mass mi moves in a frictionless track. It is connected by a string passing through a frictionless pulley to a hanging to a weight with mass ma. The string doesn't stretch. Find the acceleration of each object and the tension in the string. Freety gra e grm ht SOLUTION:Consider the following diagram. m1320 kg and m2= 10 kg. The system is being pulled by an applied force of 200 N, directed 50 above the horizontal. The coefficient of kinetic friction between the block and the surface is u=0.2. 500 20kg m, 10 kg Coeficent of friction 4= 0.2 30 7) Calculate the acceleration of the system. * Your answer 8) Calculate the magnitude of the Tension on the rope. Your answer
- A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)Q2/ A belt drive consist of two V-belts in parallel, on grooved pulleys of the size. The angle of the groove is 30°. The cross – section area of each belt is 750 and u is 0.12. The density of the belt material is 1.2 Mg/m' and the maximun stress in the material is 7 MN/m?. Answer the following questions 1- The centrifugal tension in belts is (a) increases power transmitted (b) decreases power transmitted (c) have no effect on power transmitted (d) increases power transmitted up to a certain speed and then decreasesA V-belt drives a pulley at a speed of 1440 m/min. The coefficient of friction between belt and pulley is 0.3, semi V-groove angle is 22.5 degree and angle of contact of belt with the pulley is 160 degree. Ifthe mass of the belt is 0.45 kg/m and if permissible pull in the belt is 800 N. Calculate the power.(Consider the centrifugal tension in the belt.)