Problems 1, 2, and 3 refer to the following figure and situation. A uniform beam of mass m = 19.4 kg and length L = 4 m is pivoted on the left end by a hinge. On the right end a mass M = 30.6 kg hangs from the beam and the beam is supported by a cable that provides a tension T and that makes an angle = 36.9°. The system is in equilibrium. Ny P Nx Problem 1: What is the tension of the cable, T? a. 95.0 N b. 371.4 N mg 0 Mg M c. 526.0 N Problem 2: What is the horizontal component of the normal force from the hinge, Nx? a. 95.0 N b. 371.4 N c. 526.0 N Problem 3: What is the vertical component of the normal force from the hinge, Ny? a. 95.0 N b. 371.4 N C. 526.0 N d. 657.8 N d. 657.8 N d. 657.8 N

University Physics Volume 1
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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 19CQ: What three factors affect the torque created by a force relative to a specific pivot point?
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t = rF sin 0 = r_F = rF_,
Equilibrium: Tnet = 0, Fnet,x = 0, Fnet.y = 0
Problems 1, 2, and 3 refer to the following figure and situation. A uniform beam of mass
m = 19.4 kg and length L = 4 mis pivoted on the left end by a hinge. On the right end a
mass M = 30.6 kg hangs from the beam and the beam is supported by a cable that provides a
tension T and that makes an angle 0 = 36.9°. The system is in equilibrium.
P Nx
Problem 1:
What is the tension of the cable, T?
a. 95.0 N
b. 371.4 N
T
mg
Ө
Mg
M
c. 526.0 N
Problem 2:
What is the horizontal component of the normal force from the hinge, N₂?
a. 95.0 N
b. 371.4 N
c. 526.0 N
Problem 3:
What is the vertical component of the normal force from the hinge, Ny?
a. 95.0 N
b. 371.4 N
c. 526.0 N
d. 657.8 N
d. 657.8 N
d. 657.8 N
Transcribed Image Text:t = rF sin 0 = r_F = rF_, Equilibrium: Tnet = 0, Fnet,x = 0, Fnet.y = 0 Problems 1, 2, and 3 refer to the following figure and situation. A uniform beam of mass m = 19.4 kg and length L = 4 mis pivoted on the left end by a hinge. On the right end a mass M = 30.6 kg hangs from the beam and the beam is supported by a cable that provides a tension T and that makes an angle 0 = 36.9°. The system is in equilibrium. P Nx Problem 1: What is the tension of the cable, T? a. 95.0 N b. 371.4 N T mg Ө Mg M c. 526.0 N Problem 2: What is the horizontal component of the normal force from the hinge, N₂? a. 95.0 N b. 371.4 N c. 526.0 N Problem 3: What is the vertical component of the normal force from the hinge, Ny? a. 95.0 N b. 371.4 N c. 526.0 N d. 657.8 N d. 657.8 N d. 657.8 N
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