18-51. The uniform garage door has a mass of 150 kg and is guided along smooth tracks at its ends. Lifting is done using the two springs, each of which is attached to the anchor bracket at A and to the counterbalance shaft at B and C. As the door is raised, the springs begin to unwind from the shaft, thereby assisting the lift. If each spring provides a torsional moment of M= (0.70) N - m, where 6 is in radians, determine the angle 6, at which both the left- wound and right-wound spring should be attached so that the door is completely balanced by the springs, i.e., when the door is in the vertical position and is given a slight force upward, the springs will lift the door along the side tracks to the horizontal plane with no final angular velocity. Note: The elastic potential energy of a torsional spring is V. =ko², where M = k® and in this case k = 0.7 N - m/rad.
18-51. The uniform garage door has a mass of 150 kg and is guided along smooth tracks at its ends. Lifting is done using the two springs, each of which is attached to the anchor bracket at A and to the counterbalance shaft at B and C. As the door is raised, the springs begin to unwind from the shaft, thereby assisting the lift. If each spring provides a torsional moment of M= (0.70) N - m, where 6 is in radians, determine the angle 6, at which both the left- wound and right-wound spring should be attached so that the door is completely balanced by the springs, i.e., when the door is in the vertical position and is given a slight force upward, the springs will lift the door along the side tracks to the horizontal plane with no final angular velocity. Note: The elastic potential energy of a torsional spring is V. =ko², where M = k® and in this case k = 0.7 N - m/rad.
Related questions
Question
Transcribed Image Text:18-51. The uniform garage door has a mass of 150 kg and
is guided along smooth tracks at its ends. Lifting is done
using the two springs, each of which is attached to the
anchor bracket at A and to the counterbalance shaft at B
and C. As the door is raised, the springs begin to unwind
from the shaft, thereby assisting the lift. If each spring
provides a torsional moment of M= (0.70) N - m, where 6 is
in radians, determine the angle 6, at which both the left-
wound and right-wound spring should be attached so that
the door is completely balanced by the springs, i.e., when
the door is in the vertical position and is given a slight force
upward, the springs will lift the door along the side tracks to
the horizontal plane with no final angular velocity. Note:
The elastic potential energy of a torsional spring is
V. =ko², where M = k® and in this case k = 0.7 N - m/rad.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 15 images
