30 kg 250 N
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A: For solution refer below images.
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- A baggage conveyor is used to unload luggage from an airplane. The 10-kg duffel bag A is sitting on top of the 20-kg suitcase B . The conveyor is moving the bags down at a constant speed of 0.5 m/s when the belt suddenly stops. Knowing that the coefficient of friction between the belt and B is 0.3 and that bag A does not slip on suitcase B, determine the smallest allowable coefficient of static friction between the bags.A series of small packages, each with a mass of 0.5 kg, are discharged from a conveyor belt as shown. Knowing that the coefficient of static friction between each package and the conveyor belt is 0.4, determine (a) the force exerted by the belt on the package just after it has passed point A, (b) the angle 0 defining the point B where the packages first slip relative to the belt.A box of mass m is initially at rest at the peak of an inclined plane, which has a height of 5.5 m and has an angle of θ = 25° with respect to the horizontal. After being released, it is observed to be moving at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the box and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the box, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.
- A system of blocks is pulled by a force P. The string connecting blocks A and B passes over apulley whose coefficient of friction between string and pulley is 0.25. The coefficient of frictionbetween surface and blocks is 0.20. Block A weighs 200N and block B weighs 300N. Determine,a. the minimum value of P for impending motion to the right.b. the tension connecting block B.A tractor-trailer rig with a 2000-kg tractor, a 4500-kg trailer, and a 3600-kg trailer is traveling on a level road at 90 km/h. The brakes on the rear trailer fail, and the antiskid system of the tractor and front trailer provide the largest possible force that will not cause the wheels to slide. Knowing that the coefficient of static friction is 0.75, determine (a) the shortest time for the rig to a come to a stop, (b) the force in the coupling between the two trailers during that time. Assume that the force exerted by the coupling on each of the two trailers is horizontal.SHOW COMPLETE SOLUTION A spring is used to stop 50kg block moving down a 20 degrees inclined plane. The spring has a constant K= 30KN/M and is held by the cables so that it is initially compressed 50mm. Knowing that the velocity of the package is 2m/s when it is 8m from the spring and assuming the kinetic coefficient of friction between the package and the incline is 0.20. Determine: A. Final kinetic energy B. Maximum additional deformation of spring in bringing the block to rest C. Frictional force
- SHOW COMPLETE SOLUTION A spring is used to stop 50kg block moving down a 20 degrees inclined plane. The spring has a constant K= 30KN/M and is held by the cables so that it is initially compressed 50mm. Knowing that the velocity of the package is 2m/s when it is 8m from the spring and assuming the kinetic coefficient of friction between the package and the incline is 0.20. Determine: D. Final total potential energy E. Initial kinetic energy F. Initial total potential energyA block of mass 20 kg is released from rest at the top of a ramp as shown in Figure 4. Thecoeficient of kinetic friction between block and ramp is μk = 0.25. When the block reaches thebottom ramp, it slides onto a belt moving to the right at constant speed, vc = 5 m/s. The kineticfriction coeficient between the block and belt is μk = 0.2. Determine the distance, d that theblock slides along the belt before the block’s velocity matches the velocity of the belt.The system shown is at rest when a constant 250-N force is applied to block A . Neglecting the masses of the pulleys and the effect of friction in the pulleys and assuming that the coefficients of friction between block A and the horizontal surface are μs = 0.25 and μk = 0.20, determine (a) the velocity of block B after block A has moved 2 m, (b) the tension in the cable.
- A car is traveling at 100 km/h along a straight, level road when its brakes become locked. Determine the stopping distance of the car knowing that the coefficient of kinetic friction between the tires and the road is 0.65.Three packages each of weight m = 9 kg A, B, and C are placed on a conveyor belt that is at rest. Between the belt and both packages A and C, the coefficients of friction are Ms = 0.30 and Mk = 0.20; between package B and the belt, the coefficients are Ms = 0.10 and Mk = 0.08. The packages are placed on the belt so that they are in contact with each other and at rest. Determine which, if any, of the packages will move and the friction force acting on each package. The frictional force acting on A is N The frictional force acting on B is N The frictional force acting on C is N Note: please show correct step by step working out. And double check final answers. Also for frictional force A, B & C show their directions as well. Thanks!A 25-kg package, initially at rest, is being pushed to the right by applying a force P on corner A in the direction shown in the figure. At the instant shown, corner C is already 0.250 m to the right of edge E of the platform. Assume that the coefficients of non-sliding (static) and sliding (kinetic) friction between the package and the platform are ?? = 0.40 and ?? = 0.25, respectively. P = 50.0 N. Further, assume first the block is at rest and is not impending to move. Which best approximates the frictional force between the package and the horizontal platform with the assumption that the block is at rest and is not impending to move? Which of the following best approximates the distance to the left of corner C where the line of action of the normal force crosses base CD of the package? Which of the following is TRUE about the package?