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Question 8 (Revision: Unit 9) - 5 marks A particle of mass 2 kg is attached...
A particle P of mass m kg is attached to two fixed points A and B by two identical model springs,...
A particle P of mass m kg is attached to two fixed points A and B by two identical model springs, each of stiffness k and natural length lo- The point A is at a height 1/o above the point B. The particle is free to oscillate vertically under gravity. The stiffness of each spring is given by k = 4mg/10. The horizontal level passing through the fixed point A is taken as the datum for the gravitational potential energy....
Question 2 A particle of mass m, is attached to a spring of natural length 2le...
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question. Answer: Question 5 A particle of mass m rests on a s...
Hi, can you solve the question for me step by step, I will rate
up if the working is correct. I will post the answer together with
the question.
Answer:
Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
Conservation of energy: Using Hamiltonian or Lagrangian Mechanics 2) A particle P, of mass m, is...
Conservation of energy: Using Hamiltonian or Lagrangian Mechanics 2) A particle P, of mass m, is attached by means of two light ideal springs (no damping) to fixed points A and B such that APB is a vertical straight line of length 5a. Spring AP is of stiffness k, spring PB is of stiffness 4k, and both springs are of natural length a. Point A is directly above B. i) Show that when the particle is in equilibrium AP =...
A particle of mass 5.00 kg is attached to a spring with a force constant of...
A particle of mass 5.00 kg is attached to a spring with a force constant of 130 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 3.00 m. A 9.00-kg object is dropped vertically on top of the 5.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision?m (b) By what factor has the period of the system changed?...
2. | 10 The block B of mass m3 = 2.5 kg is attached to a...
2. | 10 The block B of mass m3 = 2.5 kg is attached to a spring with spring constant k, and is initially at rest at point A as shown in the diagram. The block is then released and slides inside the curved slot until it collides at location C with a ball S that is hanging by a rope from a fixed location D. After the collision, block B is at rest at location C, and the ball...
Version 3 Part B (Mechanical Encrgy and Conservation of Energy) Problem B1: Two blocks with masses...
Version 3 Part B (Mechanical Encrgy and Conservation of Energy) Problem B1: Two blocks with masses m,-Skg and mz= 10kg hang on either side of a pulley as shown in figure below. Block m, is on an incline 0 30° and is attached to a spring whose constant is k 40N/m. The system is released from rest with the spring at is natural length. m2 Use the conservation of mechanical energy to find: 1) The maximum extension of the spring....
1) A block of mass m = 0.52 kg is attached to a spring with force...
1) A block of mass m = 0.52 kg is attached to a spring with
force constant 119 N/m is free to move on a frictionless,
horizontal surface as in the figure below. The block is released
from rest after the spring is stretched a distance A = 0.13 m.
(Indicate the direction with the sign of your answer. Assume that
the positive direction is to the right.)
(a) At that instant, find the force on the block. N
(b)...
Consider the system shown in the figure right, where two blocks m1=5 kg, and m2=10 kg are connected to each other
Consider the system shown in the figure right, where two blocks m1=5 kg, and m2=10 kg are connected to each other by a string that passes through a massless pulley. The stiffness constant of the spring attached to m1 and the wall is k=120N/m and the coefficient of kinetic friction between m1 and the surface is given to be μk=0.2. If the system is released from rest when the spring is at its equilibrium length and m2 is at a...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 1 position (m) 0.8 0.6 04 02 0 -0.2 5 -0.4 -0.8 times) a) What is the frequency? (1 point) b) What is the amplitude? (1 point) c) What is the angular frequency? (1 points) d)...
A particle P of mass m kg is attached to two fixed points A and B by two identical model springs, each of stiffness k and natural length lo- The point A is at a height 1/o above the point B. The particle is free to oscillate vertically under gravity. The stiffness of each spring is given by k = 4mg/10. The horizontal level passing through the fixed point A is taken as the datum for the gravitational potential energy....
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
Hi, can you solve the question for me step by step, I will rate
up if the working is correct. I will post the answer together with
the question.
Answer:
Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
Conservation of energy: Using Hamiltonian or Lagrangian Mechanics 2) A particle P, of mass m, is attached by means of two light ideal springs (no damping) to fixed points A and B such that APB is a vertical straight line of length 5a. Spring AP is of stiffness k, spring PB is of stiffness 4k, and both springs are of natural length a. Point A is directly above B. i) Show that when the particle is in equilibrium AP =...
2. | 10 The block B of mass m3 = 2.5 kg is attached to a spring with spring constant k, and is initially at rest at point A as shown in the diagram. The block is then released and slides inside the curved slot until it collides at location C with a ball S that is hanging by a rope from a fixed location D. After the collision, block B is at rest at location C, and the ball...
Version 3 Part B (Mechanical Encrgy and Conservation of Energy) Problem B1: Two blocks with masses m,-Skg and mz= 10kg hang on either side of a pulley as shown in figure below. Block m, is on an incline 0 30° and is attached to a spring whose constant is k 40N/m. The system is released from rest with the spring at is natural length. m2 Use the conservation of mechanical energy to find: 1) The maximum extension of the spring....
1) A block of mass m = 0.52 kg is attached to a spring with
force constant 119 N/m is free to move on a frictionless,
horizontal surface as in the figure below. The block is released
from rest after the spring is stretched a distance A = 0.13 m.
(Indicate the direction with the sign of your answer. Assume that
the positive direction is to the right.)
(a) At that instant, find the force on the block. N
(b)...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 1 position (m) 0.8 0.6 04 02 0 -0.2 5 -0.4 -0.8 times) a) What is the frequency? (1 point) b) What is the amplitude? (1 point) c) What is the angular frequency? (1 points) d)...
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