PhysicsLAB: Test Scenario: Knots and Pulleys

Refer to the following information for the next fourteen questions.

In the following problem, find the values of T₁, T₂, T₃ and T₄ as well as the unknown masses, m₂ and m₃ if the weight of m₁ is 400 N. The pulley is a “massless, frictionless” pulley.

(a) Draw and carefully label a free body diagram (FBD) of the left knot.

(b) Fill in the following x|y chart for the left knot.

State the vertical (y) equilibrium equation for the left knot.

(d) What is the value of T₁?

What is the value of T₂?

(e) Draw and carefully label a free body diagram (FBD) of the right knot.

(f) Fill in the following x|y chart for the right knot.

(g) State the horizontal (x) equilibrium equation for the right knot.

State the vertical (y) equilibrium equation for the right knot.

(h) What is the value of T₃?

What is the value of m₂?

(i) What is the value of T₄?

What is the value of m₃?