A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal...
A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μs and μk, respectively.
PART A:
Find an expression for the maximum tension Tmax for which the small box rides on top of the large box without slipping.
Express your answer in terms of the variables M, m, μs, and appropriate constants.
T=_______________________________
PART B:
A horizontal rope pulls a 9.0 kg wood sled across frictionless snow. A 4.2 kg wood box rides on the sled. What is the largest tension force for which the box doesn't slip? Assume that μs=0.50.
Express your answer to two significant figures and include the appropriate units.
T=______________________Newtons
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