Box on a Slant with a Pulley#

The figure shows a block of mass \(m\) resting on a 17\(^\circ\) slope. The coefficient of static friction between the block and the sloped surface is 0.1. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 3 \(kg\).

A box sits on a ramp that is at an angle theta from the horizontal. The box is connected by a rope to another mass that hangs freely from a pulley.

Question Text#

What is the minimum value of \(m\) such that the system remains at rest?

Answer Section#

Please enter in a numeric value in \(kg\).

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.