A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)
A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A sled of mass 500 kg sits at rest on a rough slope that is inclined
at 10° to the horizontal. The coefficient of friction between the
slope and the sled is 0.3.
The sled is held in place by a wire attached to a winch. The
tension in the wire is TN.
TN
500 kg
10°
The sled is modelled as a particle, and the wire is modelled as a light inextensible string.
a Find the maximum possible value of T.
(3 marks)
A load of mass mkg is added to the sled, and the tension in the
wire is increased to 5000 N in order to pull the sled and load up
the slope.
mkg
5000 N
500 kg
10°
Given that the sled and load are pulled a distance of 100m in 80 seconds,
b work out the value of m.
(6 marks)
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