Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Q2 A particle with mass m is attached to two identical springs with spring constant k and natural length a. One spring is attached at its other end to a fixed point A, the other spring to a fixed point B such that A is a height 4a vertically above B. The particle can move in the vertical line AB. (a) If mg < ak find the position at which the particle can remain at rest and show that in this equilibrium both springs are stretched. (b) Write down the energy equation if the particle is released from rest when the lower spring is at its natural length. (c) Show that the particle next has zero velocity at a height 3a – (mg/k) above B. (d) Give the acceleration of the particle as a function of time.

Q2 A particle with mass m is attached to two identical springs with spring constant k and natural length a. One spring is attached at its other end to a fixed point A, the other spring to a fixed point B such that A is a height 4a vertically above B. The particle can move in the vertical line AB. (a) If mg < ak find the position at which the particle can remain at rest and show that in this equilibrium both springs are stretched. (b) Write down the energy equation if the particle is released from rest when the lower spring is at its natural length. (c) Show that the particle next has zero velocity at a height 3a – (mg/k) above B. (d) Give the acceleration of the particle as a function of time.

icon
Related questions
Question

Answer D please

Q2 A particle with mass m is attached to two identical springs with spring constant k and natural length a. One spring is attached at its other end to a fixed point A, the other spring to a fixed point B such that A is a height 4a vertically above B. The particle can move in the vertical line АВ. (a) If mg < ak find the position at which the particle can remain at rest and show that in this equilibrium both springs are stretched. (b) Write down the energy equation if the particle is released from rest when the lower spring is at its natural length. (c) Show that the particle next has zero velocity at a height 3a – (mg/k) above B. (d) Give the acceleration of the particle as a function of time.
Transcribed Image Text:Q2 A particle with mass m is attached to two identical springs with spring constant k and natural length a. One spring is attached at its other end to a fixed point A, the other spring to a fixed point B such that A is a height 4a vertically above B. The particle can move in the vertical line АВ. (a) If mg < ak find the position at which the particle can remain at rest and show that in this equilibrium both springs are stretched. (b) Write down the energy equation if the particle is released from rest when the lower spring is at its natural length. (c) Show that the particle next has zero velocity at a height 3a – (mg/k) above B. (d) Give the acceleration of the particle as a function of time.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions