(e) Two blocks X and Y are connected by a light and inextensible string as shown in the figure below. The string passes over a light and smooth pulley. Block Y has a larger mass than block X. Assuming that the friction between block Y and the inclined plane is negligible, describe and explain the motion of the two blocks when the blocks are released. と 30 deg

(e) Two blocks X and Y are connected by a light and inextensible string as shown in the figure below. The string passes over a light and smooth pulley. Block Y has a larger mass than block X. Assuming that the friction between block Y and the inclined plane is negligible, describe and explain the motion of the two blocks when the blocks are released. と 30 deg

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 7.3P: Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair...

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Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.
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?
5. Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m and the horizontal surface of the table. If the block m, moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m, , and ms, the coefficient of kinetic friction between block my and the table, a. and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation.
A bead of mass m, which can slide on a straight horizontal frictionless rod is being pulled with the help of a light inextensible thread of length I in such a manner that the end of the thread, which is being pulled moves with a constant speed v always directed along the thread. Find an expression for the tensile force T in the thread at an instant when the thread makes angle o(theta) with the rod.
The contraption shown below consists of two masses connected by a string of negligible mass through a massless pulley. A spring with constant k is placed so that its equilibrium position is located a distance h below the bottom of mass m2. There is no friction either in the pulley or between the surfaces of the masses and the platform. When the two masses m¡ and m2 are released from rest, mass m2 begins falling and pulls mass m¡ up the ramp. a) Find an expression for the maximum compression of the spring d caused by mass m2 when it hits the spring. Your answer should be in terms of the m2 variables given (and g). b) On the axes below, make sketches of the kinetic energy (K), gravitational potential energy (Ugav), and elastic potential energy (Ua) of the system as a function of the height of m2, where y = 0 is defined as the point where mass m2 collides with the spring. Note that the left- hand edge of the axis is the height h, and the right-hand edge of the axis is the height -d. -d…
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
The illustrated system shows a pulley A that rotates under the effect of an external torque M. The belt that surrounds pulley A tries to stop it unsuccessfully, resulting in pulley A rotating at a constant speed while the belt is fixed. The belt in turn passes through an idle pulley B (frictionless pulley) and pulls a block of mass m2 that is attached to the wall by a spring. If it is considered that the spring has already been stretched by the effect of the tension of the band and that said block is in a condition of imminent movement in the direction to the left, determine: a) The magnitude of the torque M applied to pulley A in the counterclockwise direction. b) The elongation of the spring for the exposed condition. The values of R₂=400mm, R=300mm, μ-0,35, -0,20, k=1000N/m, m₁=17kg, m₂=12kg Pulley A Idle pulley D Resort m1 M a=60° m₂ 3
Problem 1. Find the horizontal force magnitude P needed to start the motion of the block with mass mo in two scenarios: (a) when P is applied to the right and (b) when P is applied to the left. Develop a general solution for each scenario, and subsequently, substitute the values 0= 25°, m = mo = 2.5 kg, µs = 0.40, and μk = 0.35 into your expressions for evaluation. Hgs H k P (a) A mo 0 m P (b) B
A hand pushes horizontally with a constant force on two blocks stacked against a wall (u, between finger and block A is zero). The blocks and wall do not accelerate. The mass of block A is greater than that of block B. The coefficient of static friction between the block and wall is the same as the coefficient of static friction between the two blocks. Draw a separate free-body diagram for each block. For each force on your free-body diagrams, be sure to indicate: • the type of force (e.g., tension, weight ...), • the object on which the force is exerted, and • the object exerting the force. a. Rank the magnitudes of the vertical forces that you have shown from largest to smallest. Explain how you applied Newton's second and third laws to obtain your answer. b. Suppose the hand pushes horizontally with a constant force that is twice as large as in part a. Would the friction force exerted by the wall be greater than, less than, or equal to the friction force by the wall in part a?…
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 small roller in a mechanics setup is pushed by a force F = 4 N as shown in the sketch. The mass of the roller is 0.5 kg 8cm 4cm 3cm 3cm Negleting friction and knowing that the roller is translating only, calculate the normal force at the front wheel (B).
A 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 W