Ex. (4): The figure shows a 1-kg collar that slides along the frictionless vertical rod under the actions of gravity and an ideal spring. The spring has a stiffness of 160 N/m, and its free length is 0.9 m. The collar is released from rest in position 1. Determine the speed of the collar in position 2

Ex. (4): The figure shows a 1-kg collar that slides along the frictionless vertical rod under the actions of gravity and an ideal spring. The spring has a stiffness of 160 N/m, and its free length is 0.9 m. The collar is released from rest in position 1. Determine the speed of the collar in position 2

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

A block of mass M1 resting on an inclined plane is connected by a string and pulleys to another block of mass M2 as shown in Fig. Find the tension in the string and acceleration of the blocks. Assume the coefficient of friction between the blocks M1 and the plane to be 0.2. M1=1500N , M2=1000N . Angle of inclined glane = 45 degrees
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, 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
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.
Consider the following diagram. m1320 kg and m2= 10 kg. The system is being pulled by an applied force of 200 N, directed 50 above the horizontal. The coefficient of kinetic friction between the block and the surface is u=0.2. 500 20kg m, 10 kg Coeficent of friction 4= 0.2 30 7) Calculate the acceleration of the system. * Your answer 8) Calculate the magnitude of the Tension on the rope. Your answer
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 = 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. 1
2.0 kg push 45° Problem 4: (a) The 2 kg wood box in the Figure above on the left slides up a vertical wood wall while you push on it at a 45° angle. The coefficient of kinetic friction for wood on wood is Hk = 0.2. What magnitude force Fpush should you apply to cause the box to slide up at a constant speed? Recall that constant speed means a = 0 m/sec?. Answer: 34.6 N. (b) Let's re-do part (a), but with the box now sliding down the vertical wood wall while you push on it at a 45° angle. Hk is still Hk = 0.2. What magnitude force Fpush should you apply to cause the box to slide down at a constant speed? Recall that constant speed means a = 0 m/sec?. Answer: 23.1 N. Problem 5: The Figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. One block has mass mi = 1.3 kg; the other has mass m2 = 2.8 kg. What are: (a) The magnitude of the blocks' acceleration. Answer: 3.6…
The coefficient of kinetic friction under block A in Fig. P-1057 is 0.30 and under block B it is 0.20. Find the acceleration of the system and the tension in each cord.
Consider the system shown below. The incline plane is fixed and the coefficient kinetic friction between M and 2M is ?1, and coefficient kinetic friction between the plane and 2M is ?2. Let M=2.0kg, ?=22o, ?1=0.14, and ?2=0.25. (a) What is the magnitude of the frictional force on mass M? (b) What is the magnitude of the total frictional force on mass 2M? (c) What is the acceleration of mass M? (d) What is the acceleration of mass 2M?
The figure shows a junction of mass m = 10kg sliding on a rod in a vertical plane. Positioned 1 simpai is stationary and horizontal spring and tensioned Fp = 300N. If the spring constant is k = 1kN/m and the average frictional force between the rod and the junction is F = 30N. Calculate the speed at position 2. (Ans: 3.47m/s)
6. Assume that m₁ = 2.5 kg and m2 = 4 kg. The pulley is frictionless and massless and the string that connects them is massless and doesn't stretch. The spring has constant is 50 N/m and the ramp is inclined at 35 degrees. The coefficient of friction is 0.1 between m₁ and the ramp. The system is initially at rest when m1 is pulled 18 cm down the face of the ramp and is then released. Find the speed of the masses when m₁ has moved 3 cm back up along the face of the ramp. 0 my m₂ WW k
Q1: An object of mass m1=5kg placed on frictionless horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2 = (a) Draw free-body diagrams of both objects. (b) Find the magnitude of the acceleration of the objects. (c) Find the tension in the string. 9kg M (10 marks) M2
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.