2-27 Determine the energy required to accelerate a 1300- kg car from 10 to 60 km/h on an uphill road with a vertical rise of 40 m.
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- (b) An electric motor lifts a mass of 500 kg from the ground to a height of 30 m in 1.5 minutes. Calculate the motor's output power during operation. The gravitational acceleration, g, is 9.81 m. s-².A block moves up a 30° incline under the action of certain forces, three of which are shown in Fig. 6-2. F, is horizontal and of magnitude 40 N. F, is normal to the plane and of magnitude 20 N. F3 is parallel to the plane and of magnitude 30 N. Determine the work done by each force as the block (and point of application of cach force) moves 80 cm up the incline. 30 F cos 30° 30° Fig. 6-2For masses and are 200 kg, 300 kg, 240 kg, and 260kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively and the angles between successive masses are 45 , 75 and 135 . Find the position and magnitude of the balance mass required, if it’s radius of rotation is 1.4 m.
- 3- (WORK AND ENRGY) The block M in Fig (a) weighs 500N and has a downward velocity of 5 m/s at the instant the force P-1 kN is applied. The coefficient of friction between the arm AB and the rotating body is 0,4. The rotating body weighs 800 N and has a centroidal radius of gyration of 50 cm. Find the distance the weight travels before coming to rest. 30cm. 60cm 30cmQ2/ The out – of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 г.p.m.Q4/ A four wheels drive BMW car accelerating with 6.5 m/s^2 on an inclined pavement with angle of 30° determine the forces under the front and rear wheels. If the coefficient of friction between wheels and road is 1, base wheels 230 cm, the distance between the front wheels and the center of the car's load 110 cm, the level distance from the incline road 35 cm, and mass of the vehicle 1000 kg
- F3 LA 3 $ 4 € Figure 1. Sketch of the problem. The 20 kg disc A is attached to the 10 kg block B using the cable and pulley system shown in Fig. 1. The mass of the pulley can be neglected. (b) Calculate the tension in the cable. (a) If the disk rolls without slipping, determine its angular acceleration and the acceleration of the block when they are released. (50) ▬ F4 B (25) (c) Calculate the minimum coefficient of friction between the disk and the surface, so that the disk will roll without slipping. DII 95 % F5 6 O F6 & A 20cm 88 7 F7 PrtScn 8 F8 Home F9 9 End F10 ) 0 PgUp F11R - m 130° A hollow wheel of mass given by m 50 kg rolls down an incline of 30° without slipping. The inner radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down. (a) Show that the moment of inertia of the wheel is given by Ī = 138 125 kg mm². (b) Show that the linear acceleration of the wheel's centre of gravity ā is related to the angular acceleration of the wheel a via a (55 mm)a. = (c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's centre of gravity ā.A riveting machine is driven by a 4 kW motor. The moment of inertia of the rotating parts of the machine is equivalent to 140 kg-m2 at the shaft on which the flywheel is mounted. At the commencement of operation, the flywheel is making 240 r.p.m. If closing a rivet occupies 1 second and consumes 10 kN-m of energy, find the reduction of speed of the flywheel. What is the maximum rate at which the rivets can be closed?
- Q2/ The out - of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 r.p.m.1. A pulley is driven by a flat belt running at a speed of 600 m/min. The coefficient of friction between the pulley and the belt is 0.3 and the angle of lap is 160°. If the maximum tension in the belt is 700 N ; find the power transmitted by a belt. Answer. 3.983 kWQ4: NGO i- CLO 4 - P1-14 A boat is propelled by a steam turbine. The moment of inertia of the rotor, shaft and propeller is 60 kg.m?. The turbine runs at 3000 rpm in clockwise direction looking from the front. The boat describes a circular path towards the right making one revolution in 10 s. 1. Check the magnitude and direction of the couple acting on the boat hull, 2. Evaluate the effect of gyroscopic couple on the boat.