Lifting Machine#
The machine illustrated below lifts a mass m by turning a pedal with radius \(r_1 = {{params_r1}} \ \rm{m}\). The pedal rotates a gear system, which pulls a rope along a pulley system that is lifting a mass of \({{params_m}} \ \rm{kg}\). \(r_2 = {{params_r2}} \ \rm{m}\) \(r_3 = {{params_r3}} \ \rm{m}\) \(r_4 = {{params_r4}} \ \rm{m}\).
![A mass is suspended on a double pulley system. The rope is pulled by a large gear with r3, which is spun by a smaller gear with r2. The smaller gear is spun with a pedal of r1. The rope makes contact with the larger gear at r4.](../../../../../_images/LiftingMachine1.png)
Part 1#
If the pedal is rotated at \({{params_thetaDot}} \ \rm{rad/s}\), how fast is the mass rising?
Answer Section#
Please enter in a numeric value in m/s.
Part 2#
Find the minimum force required to lift the mass at a constant velocity.
Answer Section#
Please enter in a numeric value in N.
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.