A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the Figure 1.1. The block lies on a frictionless incline of angle 0. a. Find the magnitude of the acceleration of the two objects and the tension in the cord. b. What happens in this situation if the angle 0 = 90°? c. What happens if the mass m1 = = 0?

A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the Figure 1.1. The block lies on a frictionless incline of angle 0. a. Find the magnitude of the acceleration of the two objects and the tension in the cord. b. What happens in this situation if the angle 0 = 90°? c. What happens if the mass m1 = = 0?

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 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

as shown in the attached figure, a block with mass m1 is attached to a massless ideal string. the string wraps around a massless pulley and then wraps around a second massless pulley that is attached to block with mass m2 and ultimately attaches to a wall. the whole system is frictionless. a coordinate system is given in the figure given T, the tension in the string, calculate a1, the magnitude of the vertical acceleration of the block with mass m1 a1 = ?
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?
1. Two masses are connected by a cord and accelerates to the left. M1 has a mass of 20 kg and rests on an incline plane at 37 degrees with respect to the horizontal while m2 has a mass of 10 kg and is hanging above the floor. Find the magnitude of the acceleration and the tension in the cord assuming that there is no friction between the block and the inclined plane. 2. In the previous problem, suppose that the 10 kg block, instead of hanging, lies on a horizontal, frictionless surface to the right of the pulley and the 10 kg mass is horizontal. Calculate the following:a. The acceleration of the blocks.b. The tension in the cable.
A block of mass 4m can move without friction on a horizontal table. The block is attached to another block of mass m by a string that passes over a frictionless pulley. If the masses of the string and the pulley are negligible, what is the magnitude of the acceleration of the descending block?
Two blocks with masses m1 = 5.0 kg and m2 = 7.0 kg are attached by a string as shown in the figure below, over a pulley with mass M = 2.0 kg. The blocks are released from rest. The pulley, which turns on a frictionless axle, is a hollow cylinder with radius 0.050 m over which the string moves without slipping. The horizontal surface is frictionless. Find the speed of the system when the block of mass m2 has dropped 2 m.
A block of mass m1 is located on an inclined plane θ and attached by a rope passing over a pulley with a weight of mass m2. If m1 > m2 find the tension and the acceleration.
as shown in the attached figure, a block with mass m1 is attached to a massless ideal string. the string wraps around a massless pulley and then wraps around a ,second massless pulley that is attached to block with mass m2 and ultimately attaches to a wall. the whole system is frictionless. a coordinate system is given in the figure given that a2 is the magnitude of the horizontal acceleration of the block with mass m2 , what is T, the tension of the string?
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 position
as shown in the attached figure, a block with mass m1 is attached to a massless ideal string. the string wraps around a massless pulley and then wraps around a second massless pulley that is attached to block with mass m2 and ultimately attaches to a wall. the whole system is frictionless. a coordinate system is given in the figure given the magnitude a1 of the acceleration of the block with mass m1 , find a2, the magnitude of the horizontal acceleration of the block with mass m2 a2 = ?
A 25-kg box is attached to two-light ropes and is being pulled in a frictionless, horizontal floor. The two forces pulling box is given: F1 is 15 N due to east, and F2 is 10 N due north. a) Draw the free-body diagram b) What are the forces acting on the box? Identify whether contact or non-contact force. c) Identify the action-reaction pairs d) What is the acceleration of the box?
Two blocks of equal masses ma=mb=m, connectedtogether with a massless cord of fixed length, slidedown an inclined plane. The coefficient of kineticfriction between block A and the inclined surface isµA=µ and the coefficient of kinetic friction betweenblock A and inclined surface is µB=2µ.a- Draw free body diagram for each block.b- Find the acceleration of blocks in terms of m, µand q.c- Find the tension in the cord in terms of abovementioned parameters.
In the figure, masses of a sphere of radius r and mass m are compressed between two neglected rods. The length of the bars is indicated by l, and the angle they make with the vertical by the angle. The force applied from the ends of the rods is in the horizontal direction and its magnitude is given by P. Friction between sphere and rods is neglected. Therefore, find the acceleration of the sphere in the vertical direction when the angle is 30º in terms of the given magnitudes. Note: Treat the sphere as the material point.