The mass center of the rear-engine 1530-Kg car is at G. The coefficient of static frid a 600'mm
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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.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 kg2. 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.
- On 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.A motorcycle and rider have a combined mass of 350kg. The each wheel has a mass of 20kg with the diameter of 500 mm. The rider accelerates from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. Identify the magnitude and effect of gyroscopic reaction torque by calculating the angular velocity and power as the motorcycle ascends the incline when the motorcycle and rider travel at 80 km/h around a left-hand bend of road with the radius 30 m.Explain the effects of energy transfer in mechanical systems (e.g. gears, pulley or flywheel) with uniform acceleration present.Consider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
- 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?A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 29cm, which carries a mass of reciprocating part whose magnitude is 11kgs with a revolving part of 5kgs 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 500 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 41cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 76cm between the two cylinders in (N-m) 5. Magnitude of Hammer…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 inertia force on themotorcycle when the acceleration ismaximum.a. 2846.57 lbs b. 2675.66 lbsc. 2864.75 lbs d. 2666.75 lbs
- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that positionQ12 / A Porter governor has links 150 mm long and are attached to pivots at a radial distance of 30 mm from the vertical axis of the governor. The mass of each ball is 1.75 kg and the mass of the sleeve is 25 kg. The governor sleeve ready to rise at 300 rpm when the links are at 30 ° to the vertical. Assuming the friction force to be constant, find the value of the friction force, minimum and maximum speed of rotation when the inclination of the links is 45 ° to the vertical.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) = ?