(ii) The drum described in part 1b (i) is driven by a belt attached to a motor. Figure (i) shows the general arrangement of a belt drive. It can be shown that the rate of change of the tension F (N) with respect to the angle e radians at any point P is given by pF, where p is the coefficient of friction between the belt and the pulley. Belt drive F, = Tension in the right side Pulley Angle of lap O A F,= Tension in the slack side Figure (i) dF The initial differential equation will be: µF de Hint: If = ky then y=Aek* dx (i) Given the following boundary conditions when 0 =0, F = F, and when 0 =0, F = F,. Find the equation connecting Fi to F., p and O. Find the value of F, when F,= 50 N, u=0.3 and the angle of lap is 120° (ii)

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The drum described in part 1b (i) is driven by a belt attached to a motor. Figure (i) shows the
general arrangement of a belt drive. It can be shown that the rate of change of the tension F (N)
with respect to the angle 0 radians at any point P is given by pF, where u is the coefficient of
friction between the belt and the pulley.
(iii)
Belt drive
F = Tension in the right side
Pulley
Angle of lap O
A
F.= Tension in the slack
side
Figure (i)
dF
The initial differential equation will be:
de
dy
Hint: If = ky then y=DAekx
%3D
dx
Given the following boundary conditions when 0 =0, F = F, and when e =0, F = F. Find the
equation connecting Fi to Fs, p and O.
Find the value of F, when F,= 50 N, p =0.3 and the angle of lap is 120°
(i)
(ii)
Transcribed Image Text:The drum described in part 1b (i) is driven by a belt attached to a motor. Figure (i) shows the general arrangement of a belt drive. It can be shown that the rate of change of the tension F (N) with respect to the angle 0 radians at any point P is given by pF, where u is the coefficient of friction between the belt and the pulley. (iii) Belt drive F = Tension in the right side Pulley Angle of lap O A F.= Tension in the slack side Figure (i) dF The initial differential equation will be: de dy Hint: If = ky then y=DAekx %3D dx Given the following boundary conditions when 0 =0, F = F, and when e =0, F = F. Find the equation connecting Fi to Fs, p and O. Find the value of F, when F,= 50 N, p =0.3 and the angle of lap is 120° (i) (ii)
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