X 1m 25 kg 60° 6 m a uniform rod of length(1)=6m and mass(m)=66.2kg is connected by a hinge to a wall. The rod is supported in the horizontal direction by a string rope. The string rope makes an angle of 60 degrees with the ceiling. The rod holds up a 25 kg sign board with two vertical ropes which are 1 meter apart. It is known that the string rope can sustain a maximum Tension of 1200 N. Jeanluke is 75 kg. He starts at the hinge and starts walking to the end of the rod. a. Draw a force diagram of the rod. Show all the forces acting on the rod. b. Figure out the furthest position (x) from the hinge which jeanluke can stand safely c. Determine the components of the reaction force exerted by the hinge on the rod in this critical situation (when jeanluke is at position x ).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 81PQ: A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and...
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O
X
1 m
25 kg
60°
6 m
a uniform rod of length(1)=6m and mass(m)=66.2kg is connected by a
hinge to a wall. The rod is supported in the horizontal direction by a
string rope. The string rope makes an angle of 60 degrees with the ceiling.
The rod holds up a 25 kg sign board with two vertical ropes which are 1
meter apart. It is known that the string rope can sustain a maximum
Tension of 1200 N. Jeanluke is 75 kg . He starts at the hinge and starts
walking to the end of the rod.
a. Draw a force diagram of the rod. Show all the forces acting on the
rod.
b. Figure out the furthest position (x) from the hinge which jeanluke
can stand safely
c.
Determine the components of the reaction force exerted by the
hinge on the rod in this critical situation (when jeanluke is at
position x ).
Transcribed Image Text:O X 1 m 25 kg 60° 6 m a uniform rod of length(1)=6m and mass(m)=66.2kg is connected by a hinge to a wall. The rod is supported in the horizontal direction by a string rope. The string rope makes an angle of 60 degrees with the ceiling. The rod holds up a 25 kg sign board with two vertical ropes which are 1 meter apart. It is known that the string rope can sustain a maximum Tension of 1200 N. Jeanluke is 75 kg . He starts at the hinge and starts walking to the end of the rod. a. Draw a force diagram of the rod. Show all the forces acting on the rod. b. Figure out the furthest position (x) from the hinge which jeanluke can stand safely c. Determine the components of the reaction force exerted by the hinge on the rod in this critical situation (when jeanluke is at position x ).
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