and a vertical wall as shown in the figure. The lamp is not moving. T₂ 60° T₁ T3 m 60° Lamp The wire segments create angles 60° with respect to the horizontal ceiling and 60° with respect to the vertical wall as shown and the mass creates tensions in the segments of the wire of magnitude T1, T2, and T3, as labeled in the diagram. (A) Draw a free-body diagram for the hanging mass system showing (and labeling) all forces acting on the hanging lamp system. Then draw x and y axes for your free-body diagram. (B) Use Newton's second law to write equations for forces in component forms (x and y, separately) acting on the lamp in terms of: tension magnitudes T2 and T3, the angles shown, the mass of the object m and the gravitational constant g. You do not need to solve the equations but simplify as possible. (C) The weight of the lamp is determined to be 250 Newtons. Solve for magnitudes of T₁, T2 and T3
and a vertical wall as shown in the figure. The lamp is not moving. T₂ 60° T₁ T3 m 60° Lamp The wire segments create angles 60° with respect to the horizontal ceiling and 60° with respect to the vertical wall as shown and the mass creates tensions in the segments of the wire of magnitude T1, T2, and T3, as labeled in the diagram. (A) Draw a free-body diagram for the hanging mass system showing (and labeling) all forces acting on the hanging lamp system. Then draw x and y axes for your free-body diagram. (B) Use Newton's second law to write equations for forces in component forms (x and y, separately) acting on the lamp in terms of: tension magnitudes T2 and T3, the angles shown, the mass of the object m and the gravitational constant g. You do not need to solve the equations but simplify as possible. (C) The weight of the lamp is determined to be 250 Newtons. Solve for magnitudes of T₁, T2 and T3
Transcribed Image Text:A lamp of mass m is hung from from a series of short massless wire segments to a horizontal ceiling
and a vertical wall as shown in the figure. The lamp is not moving.
T₂
60°
T₁
T3
m
60°
Lamp
The wire segments create angles 60° with respect to the horizontal ceiling and 60° with respect to
the vertical wall as shown and the mass creates tensions in the segments of the wire of magnitude
T1, T2, and T3, as labeled in the diagram.
(A) Draw a free-body diagram for the hanging mass system showing (and labeling) all forces acting on
the hanging lamp system. Then draw x and y axes for your free-body diagram.
(B) Use Newton's second law to write equations for forces in component forms (x and y, separately)
acting on the lamp in terms of: tension magnitudes T2 and T3, the angles shown, the mass of the
object m and the gravitational constant g. You do not need to solve the equations but simplify as
possible.
(C) The weight of the lamp is determined to be 250 Newtons. Solve for magnitudes of T1, T2 and T3
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