# A mechanics question for Trinity College Interview Test

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Thread starter 6 years ago
#1
consider a mass at position on a rough horizontal table attached to the origin by a spring with constant (restoring force ) and with a dry friction force

a). What is the range of where the mass can rest?

b) Show that if the mass moves, the maximum excursion decreases by per half cycle.

c) Discuss the motion

Could someone please give a hint as how to show that the amplitude of oscillation decrease per half cycle?
0
6 years ago
#2
Easiest way is probably energy. Let me know if you need a further prod.

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Thread starter 6 years ago
#3
(Original post by Krollo)
Easiest way is probably energy. Let me know if you need a further prod.

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Thanks! I've solved it both using energy methods and differential equations. It is too slow to type it here as the differential methods cost a lot of space.

For those interested, see http://physics.stackexchange.com/que...s-a-half-cycle
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6 years ago
#4
(Original post by 100708244)
Thanks! I've solved it both using energy methods and differential equations. It is too slow to type it here as the differential methods cost a lot of space.

For those interested, see http://physics.stackexchange.com/que...s-a-half-cycle
Ah, excellent. Are you planning to try for Trinity?

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Thread starter 6 years ago
#5
(Original post by Krollo)
Ah, excellent. Are you planning to try for Trinity?

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No, my ability is not comparable to BMO participants. But I will try for Cambridge.
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6 years ago
#6
(Original post by 100708244)
No, my ability is not comparable to BMO participants. But I will try for Cambridge.
Did someone say BMO?

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6 years ago
#7
(Original post by 100708244)
No, my ability is not comparable to BMO participants. But I will try for Cambridge.
Great to hear it. Will you be applying for 2016?

Don't worry about BMO, it's a very particular style of maths, you won't be disadvantaged one bit.

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