Liverpool John Moores University Resistance Question

n 2022 FirstSitn 10
A train of mass 2,480 kg pushes a carriage of mass 1,300 kg along a straight horizontal track.
The engine is connected to the carriage by a coupling rod which is parallel to the direction of motion of
the train.
The horizontal resistances of motion of the train and the carriage have magnitudes RN and 495 N
respectively.
The engine of the train produces a constant horizontal driving force of magnitude 8,400 N that causes
the train and carriage to accelerate at 1.25 ms 2.
a) Calculate the resistance to motion R acting on the train. (3 marks)
Number
Units
b) Find the magnitude of the compression in the coupling. (2 marks)
Number
Units
O
The train must stop at the next station so the driver reduces the force produced by the engine to zero
and applies the brakes. The brakes produce a force on the train of magnitude 1,700 N causing the
Anaing and carriage to decolorata
Narat
Submit Assignment Quit & Save
Remaining Time: 01:37:54
C
hn
Back
84°F
Question Menu-
@ 10O
Number
b) Find the magnitude of the compression in the coupling. (2 marks)
Number
Units
The train must stop at the next station so the driver reduces the force produced by the engine to zero
and applies the brakes. The brakes produce a force on the train of magnitude 1,700 N causing the
engine and carriage to decelerate.
Number
to motion R acting on the train. (3 marks)
c) Given that the resistances to motion are unchanged (from parts a) and b) above), find the magnitude
of the tension in the coupling. (5 marks)
HINT: Find the acceleration of the system first.
100
Units
n
Units
Submit Assignment
hp
Quit & Save
Back
Question Menu A
84°F ^ @ O