Unit: Force and Newton's Laws

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Part 1

Two objects are connected by a light string that passes over a frictionless pulley. Object 1 has mass m1=27kgm_1 = 27\,\mathrm{kg} and is placed on a frictionless inclined plane at angle θ=30\theta = 30^\circ, while object 2 has mass m2=13kgm_2 = 13\,\mathrm{kg} and hangs vertically. The system is released from rest.

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Select the correct free-body diagram for mass m1m_1 on the inclined plane (axes aligned with the incline; TT is tension, NN is normal force; all forces are labeled).

Correct!

Solution:

Solution

On the frictionless incline (axes aligned with the plane):

  • The weight of the mass, Fg=m1g\vec{F}_g = m_1\vec{g}, points vertically downward.
  • The normal force N\vec{N} is perpendicular to the plane, pointing outward from the surface.
  • The tension T\vec{T} is along the plane, directed up the plane.
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