I need help with an A-Level Maths Mechanics Question Watch

S.jay2
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#1
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Im really stuck and need some help. The question is:
A shipping container of mass 15000kg is being pulled up by a winch up a rough slope that is inclined at 10 degrees to the horizontal. The winch line imparts a constant force of 42000N, which acts parallel to and up the slope, causing the shipping container to accelerate at a constant rate of 0.1ms^-2 Calculate:
a) the reaction force between the shipping container and the slope
b) the coefficient of friction between the shipping container and slope

When the shipping container is travelling at 2ms^-1 the engine is turned off.
c)Find the time taken for the shipping container to come to rest
d)Determine whether the shipping container will remain at rest, justifying your answer carefully.
Thank you in advance
Last edited by S.jay2; 1 week ago
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ghostwalker
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(Original post by S.jay2)
Im really stuck and need some help. The question is:
A shipping container of mass 15000kg is being pulled up by a winch up a rough slope that is inclined at 10 degrees to the horizontal. The winch line imparts a constant force of 42000N, which acts parallel to and up the slope, causing the shipping container to accelerate at a constant rate of 0.1ms^-2 Calculate:
a) the reaction force between the shipping container and the slope
b) the coefficient of friction between the shipping container and slope

When the shipping container is travelling at 2ms^-1 the engine is turned off.
c)Find the time taken for the shipping container to come to rest
d)Determine whether the shipping container will remain at rest, justifying your answer carefully.
Thank you in advance
I've requested your thread be moved to the maths forum - the unbrella forum you've posted in isn't anywhere near as active.

Please also see the maths forum posting guidelines - here. Following them will get you quicker more informed responses.
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MediocreSince01
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Could you start by drawing a diagram, illustrating the forces acting?
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Physics Enemy
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(Original post by S.jay2)
...
a) R = [email protected]
b) T - F = ma, F = T - ma = uR => u = (T - ma)/R
c) u = 2, v = 0, a = -([email protected] + F/m): use v = u + at
d) Tendancy is to slide down now, so F acts up the slope, if F >= [email protected] it'll remain at rest.
Last edited by Physics Enemy; 5 days ago
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alekos56
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If u < tan 10 it will slide down otherwise it stays where it is
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simon0
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(Original post by Physics Enemy)
a) R = [email protected]
b) T - F = ma, F = T - ma = uR => u = (T - ma)/R
c) u = 2, v = 0, a = [email protected]: use v = u + at
d) Tendancy is to slide down now, so F acts up the slope, if F >= [email protected] it'll remain at rest.
For question 1c, you need to take into account friction in the model.
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simon0
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As noted by other posters on this thread, it is best to draw a diagram first and have an attempt yourself.

As a guide for question 1a:
Draw diagram, then resolve forces.
Can you isolate the reaction force?

Spoiler:
Show
Easiest method is to resolve perpendicular to the plane.
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S.jay2
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Thank you so much I understand now
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