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...


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

Extracted 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)

Jun 11, 2022
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