2. A block of mass m, = 20 kg which lies on an incline frictional surface is connected to another block of mass m, = 100 kg by two massless ropes and two massless, frictionless pulleys as shown in Fig. 1. The inclined surface makes 30° angle with the horizontal line. The coefficient of kinetic friction between the block m, and the inclined surface is 0.12. m, Ô=30° Fig. 1 Draw the free body diagram of block m, block m, and the hanging pulley. Find the accelerations of block m, and block mɔ. Calculate the tensions in the two massless ropes.

2. A block of mass m, = 20 kg which lies on an incline frictional surface is connected to another block of mass m, = 100 kg by two massless ropes and two massless, frictionless pulleys as shown in Fig. 1. The inclined surface makes 30° angle with the horizontal line. The coefficient of kinetic friction between the block m, and the inclined surface is 0.12. m, Ô=30° Fig. 1 Draw the free body diagram of block m, block m, and the hanging pulley. Find the accelerations of block m, and block mɔ. Calculate the tensions in the two massless ropes.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...

See similar textbooks

Similar questions

2 A dustbin of mass 12 kg standing on horizontal ground is pushed by a horizontal force of 40 N. If the coefficient of friction is 0.4, will the dustbin move?
A dictionary is pulled to the right at constant velocity by a 10 N force acting 30° upward above the horizontal. The coefficient of kinetic friction between the book and the horizontal surface is 0.5. What is the weight of the book?
(II) A 25.0-kg box is released on a 27° incline and accelerates down the incline 0.30 m/s2at Find the friction force impeding its motion. What is the coefficient of kinetic friction?
2. A block of mass m, = 20 kg which lies on an incline frictional surface is connected to another block of mass m; = 100 kg by two massless ropes and two massless, frictionless pulleys as shown in Fig. 1. The inclined surface makes 30° angle with the horizontal line. The coefficient of kinetic friction between the block m, and the inclined surface is 0.12. m. 6=30° Fig. 1 (a) Draw the free body diagram of block ml, block m2 and the hanging pulley. (b) Find the accelerations of block ml and block m2. (c) Calculate the tensions in the two massless ropes.
A solid block A weighing Q kg is resting on a flat floor. A smooth cylinder B weighing Pkg. is placed between the solid A and the vertical wall as shown in fig. The friction between the cylinder, wall and the block A is negligible. The co-efficient of friction between the block A and floor is u. The minimum weight Prequired to disturb the block A is Wall to Floor
Q5 A pull of 20 N at 30 ° to the horizontal is necessary to move a block of wood on a horizontal table . If the coefficient of friction between the bodies in contact is 0.25 , what is the weight of the block ?
A 200-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 34.5° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.870, and the log has an acceleration of 0.750 m/s2. Find the tension in the rope.
Question 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 = 350, %3D 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 m2 m Fig. 1
A box of mass 12 kg standing on horizontal ground is pushed by a horizontal force of 30 N. If the coefficient of friction is 0.25, will the box move?
Q3 (a): A horizontal stick OA of mass 2m has its left P end attached to a pivot O on a plane inclined at an angle 0, while its right end A rests on the top of a cylinder of mass m which in turn rests on the plane, as shown in Fig. The coefficient of friction between the cylinder and both the stick and the plane is u. 2m А m (i) Assuming that the system is at rest, what is the normal force from the plane on the cylinder? (ii) What is the smallest value of u (in terms of 0) for which the system doesn't slip anywhere?
A body of mass 30 kg is resting on a horizontal plane. A pull of 80 N is subjected on the body and tends the body to move. Will the body move if coefficient of friction between the body and the plane is 0.3.
3. Two blocks, masses m₁ and m2, on a horizontal, frictionless surface are being pulled by a massless, unstretchable rope that goes over a frictionless pulley and is connected to a block of mass m3. Assumer two blocks move together. The coefficient of friction between block 1 and block 2 is . Find the force that block 2 exerts on block 1. 2 [ Free Body Diagrams and Law or Definitio. 3