24.:Block A in Fig 2 weighs 50 N and block B weighs 35 N. The blocks are onnected by a flexible inextensible cord which passes over a smooth pully at C. The coefficient of friction between the plane and the block A is 0.3. The blocks are initially at rest. Determine the tension in the cord and the velocity of A after it
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- T my F Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F. Suppose that F=68.0 N, mị = 12.0kg, m2 = 18.0kg, and %3D the coefficient of kinetic friction between each block and the surface is 0.1. (a) Draw a free-body diagram for each block. (b) Find the acceleration of the system. (C) Determine the tension T of the rope between the blocks.Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?Block A in Fig. has mass 4.00 kg, and block B hasmass 12.0 kg. The coefficient of kinetic friction between block Band the horizontal surface is 0.25. (a) What is the mass of block C ifblock B is moving to the right and speeding up with an accelerationof 2.00 m/s2? (b) What is the tension in each cord when block B hasthis acceleration?
- An aeroplane required for take off speed of 80 km/h, the run onthe ground being 100m. The mass of the aeroplane is 10000 kgand coefficient of friction between the plane and ground is 0.2.Assume that the plane accelerates uniformly during the take off.What is the maximum force required by the engine of the plane fortake off.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.3ft 30° 4 ft a Small aate weighing 2e6 contains a ball weighing 3 es. Rey are released fom rest at 'The which has friction of 0.3 with The epate, at the bottom of the incline. the crate is stopped by continues, mouing out of the crate, The ball Smo0thly impacts weigh ing 4 eb, which is suppated by Apring of const ant 50 lb/ft. The coefficient of rest itution for This collision 0.6. The ball bounces away. top of the incline, a coeffizi ent of Kihe tre bumper, but the ball a platter a a is Frnd : The maximum compretsion of The speing.
- Block A is sliding down and pulling up both Block B and Block C. Find the accelerations of each body and the tension of rope if the coefficient of friction at Block A is 0.25 and at Block C is 0.35 A= 2000b B= 500 b C: 1000lb 314 AQuestion A 4.0 kg mass, ml, hangs from a rope that runs over a massless frictionless pulley and is connected to a 6.0 kg mass, m2, resting on the surface at an incline of 0 = 35 as shown in Figure (1). The coefficient of static friction between the incline and m2 is 0.09, and the coefficient of kinetic friction is 0.07. Initially, the system is at rest. Calculate (a)the acceleration of the masses (b) the tension in the string. pulley m- Fig. 1A crate has a mass of 120kg and the coefficient of static and kinetic friction is 0.60 and 0.50, respectively. The crate starts from rest and the motor exerts a tension T= 1220 + 200t (N). If the elevation of the dock is 30 degrees from the horizontal, What is the velocity of the crate after 1sec? Compute the power transmitted after 1sec. Provide FBD. Thank you.
- 2. A mass m and a spring of stiffness k are connected in series. The mass lies on a horizontal floor with coefficient of friction u. At t = 0, the free end of the initially unstressed spring is moved at a constant speed vo in a straight line directly away from the mass. Draw the FBD of the block, and Find: (i) the equation of motion of the block, (ii) the time ti at which the motion of the block is initiated, and (iii) the subsequent motion x(t) of the blockA wedge is used to lift (impending motion) an 11-kg block. The coefficient of static friction for all surfaces is 0.20. [0= 12.5°; use g = 9.81 m/s² and neglect the weight of the wedge] Determine: a. The free-body diagrams of the block and the wedge with the complete forces. In all cases, show the normal force and frictional force as a combined resultant force, R. J b. The normal force, N, between the block and the wedge. (Value only, no direction) ***] c. The resultant force, R, between the wedge and the floor. (with direction/angle measured from the x-axis; must be acute, > P- 0 WA 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)