The mass center of the rear-engine 1530-Kg car is at G. The coefficient of static friction is 0.5 at driving tire/road interfaces. a OG 600'mm A B
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- A block with mass of ?1=2 ?? is placed on top of a block with a mass?2=4 ??. A horizontal force of F=60 N is applied to the block ?2, and the block ?1 is tied to the wall. The coefficient of kinetic friction between all surfaces is 0.400. (a) Draw a free-body diagram for each block and identify the action–reaction forces between the blocks. (b)Determine the tension in the string and the magnitude of the acceleration of the block ?2.Two blocks with masses M1 and M2 are connected by a massless string that passes over a pulley as shown. M1 is on an incline of 49.5° with coefficient of kinetic friction μ1 = 0.205. M2 has a mass of 4.84 kg and is on an incline of 35.5° with coefficient of kinetic friction μ2 = 0.105. The pulley can be modeled as a disk with a mass of 305 g and radius of 15 cm. When the system is released, Block M2 accelerates down the incline at rate of 0.52 m/s2. (a) Determine mass of block 1 and the tension forces in the string connecting the blocks and the pulley. Draw accurate free body diagrams of both blocks and pulley, label each force correctly and show the steps in derivation of equations. (b) How much energy will be dissipated by friction 2 second after the blocks are released?2. A block of mass m1 = 2.05 kg and a block of mass m2 = 6.40 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg.The fixed, wedge-shaped ramp makes an angle of ? = 30.0°as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. a) Draw force diagrams of both blocks and of the pulley. b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) c) Determine the tensions in the string on both sides of the pulley.
- The drum, with radius R = 1.9 m, is given an initial counterclockwise angular velocity ω0. The drum is kept from rolling towards the left by a smooth vertical slot acting on a thin rod which passes through its centre. A vertical force (where C = 38, k = 1.7 and t denotes time in seconds) is being applied to a cord wrapped around the inner hub, with radius r = 0.7 m, of the drum. If the frictional coefficient is μk = 0.62 and the change in the angular momentum about O is ΔHO = 238 kg.m2/s (counterclockwise) during the first 2.3 seconds, determine the mass of the drum. (The mass of the cord and the thin rod may be regarded as negligible.) a)214.2 kg b)68.28 kg c)19.83 kg d)109.6 kg e)69.86 kgA locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 25cm, which carries a mass of reciprocating part whose magnitude is 8kgs with a revolving part of 4kgs rotating at 17cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 560 from top dead centre to bottom dead centre. 1. Maximum primary unbalanced force of reciprocating mass in newtons 2. Balancing mass required at a radius of 35cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 72cm between the two cylinders in (N-m) 5.…consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless if the system is released from rest, what is the speed of mass m2 after 2.5 s? v(2.5 s) = ?
- consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?A 1800-kg truck travels at 85kph around a banked curve with a radius of 250 m. What should be the super-elevation so that the tire friction is equal in magnitude to superel-evation? A. 0.114 B. 0.295 C. 0.227 D. 0.382 E. None of the aboveOn a level test track, a car with anti locks brakes and 90% braking efficiency is determined to have a theoretical stopping distance (ignoring aerodynamic resistance) of 408-ft (after the brakes are applied) from 100-mi/h. The car is rear-wheel drive with a 110-inch wheel base, weighs 3200-lb, and has a 50/50 weight distribution (front to back), a center of gravity that is 22-inches above the road surface, an engine that generates 300-ft lb of torque, an overall gear reduction of 8.5 to 1 (in first gear), a wheel radius of 15-inches and a driveline efficiency of 95%. What is the maximum acceleration from rest of this car on this test track? Thank you for helping.
- Hello, can you help me answer this question with complete solution and illustration. *A Land Cruiser having a mass of 1500 kg goes through an intersection and i stravelling from north to south when it is hit by a Mitsubishi Pajero of mass 220 kg travelling from east to west. The two cars slid as one due to impact and stops 5.39 m west and 6.43 m south measured from impact point. It is known that the coefficient of kinetic friction between the cars and the road is 0.75. How fast each of the car is travelling before collision?A block weighing 2.50 kg begins its motion from a stationary position at point A, located at the highest point of a frictionless ramp. The ramp is inclined at an angle of 40° relative to the horizontal and has a length of 1.50 m. As the block slides down the ramp, it reaches a region between point B and point C, which is a rough horizontal surface with a kinetic friction coefficient of 0.30. After covering a distance of 1.00 m on the horizontal surface, the block encounters a lightweight spring with a spring constant of 900 N/m. A. Find the total energy for point A and point B? B. Find the speed of the block at point B? C. What is the cumulative work performed on the block as it moves along the rough horizontal surface? D. By employing the work-energy theorem, determine the velocity of the block at point C just before it collides with the spring?A 2000-lb bike with a rear wheel drive has awheelbase of 10 ft. The c.g. is 3 ft above thepavement and 4 ft ahead of the rear wheels.The coefficient of friction is 0.60 between thetires and the pavement. Determine the accelerating horizontalforce on the motorcycle when theacceleration is maximum.a. 1646.57 lbs b. 1475.66 lbsc. 1664.75 lbs d. 1466.75 lbs