( ANSWER e,f, and g ), a is given ) You have two equal masses m1 and m2 and a spring with a spring constant k. The mass m1 is connected to the spring and placed on a frictionless horizontal surface at the relaxed position of the spring. You then hang mass m2, connected to mass m1 by a massless cord, over a pulley at the edge of the horizontal surface. When the entire system comes to rest in the equilibrium position, the spring is stretched an amount d1 as shown in figure (a). You are given the following information. ( ANSWER E,F, and G ), A is given ) The mass m1 = m2 = 0.500 kg. The spring constant k = 290 N/m. (a) Determine the amount the spring is stretched (d1) when m2 is attached to m1. d1 = 0.01689 m Correct: Your answer is correct. You now pull the mass m2 down a distance d2 = 4 cm and release it from rest, as shown in figure (b). Determine the following as the two masses travel the distance d2 back to their equilibrium positions. (The masses will overshoot the equilibrium position, but we are focusing our attention on them only as they travel the distance d2.) (e) Determine the net work done on the system. Wnet =_______ J (f) Determine the work done on m1 by the tension in the cord. WT1 =_______ J (g) Determine the work done on m2 by the tension in the cord. WT2 =_______ J
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
( ANSWER e,f, and g ), a is given )
You have two equal masses m1 and m2 and a spring with a spring constant k. The mass m1 is connected to the spring and placed on a frictionless horizontal surface at the relaxed position of the spring. You then hang mass m2, connected to mass m1 by a massless cord, over a pulley at the edge of the horizontal surface. When the entire system comes to rest in the equilibrium position, the spring is stretched an amount d1 as shown in figure (a). You are given the following information.
( ANSWER E,F, and G ), A is given )
The mass m1 = m2 = 0.500 kg.
The spring constant k = 290 N/m.
(a) Determine the amount the spring is stretched (d1) when m2 is attached to m1.
d1 = 0.01689 m Correct: Your answer is correct.
You now pull the mass m2 down a distance d2 = 4 cm and release it from rest, as shown in figure (b). Determine the following as the two masses travel the distance d2 back to their equilibrium positions. (The masses will overshoot the equilibrium position, but we are focusing our attention on them only as they travel the distance d2.)
(e) Determine the net work done on the system.
Wnet =_______ J
(f) Determine the work done on m1 by the tension in the cord.
WT1 =_______ J
(g) Determine the work done on m2 by the tension in the cord.
WT2 =_______ J
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