Lifting Machine

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.

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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.