The figure shows the cross section AB of a garage door which is a rectangular 2.5-m by 5-m panel of uniform thickness with a mass of 200 kg. The door is supported by the struts of negligible mass and hinged at O. Two spring-and-cable assemblies, one on each side of the door, control the movement. When the door is in the horizontal open position, each spring is unextended. If the door is given a slight imbalance from the open position and allowed to fall, determine the value of the spring constant k for each spring which will limit the angular velocity of the door to 1.5 rad/s when edge B strikes the floor. Ans. k = 1.270 kN/m

The figure shows the cross section AB of a garage door which is a rectangular 2.5-m by 5-m panel of uniform thickness with a mass of 200 kg. The door is supported by the struts of negligible mass and hinged at O. Two spring-and-cable assemblies, one on each side of the door, control the movement. When the door is in the horizontal open position, each spring is unextended. If the door is given a slight imbalance from the open position and allowed to fall, determine the value of the spring constant k for each spring which will limit the angular velocity of the door to 1.5 rad/s when edge B strikes the floor. Ans. k = 1.270 kN/m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Q2:
The figure shows the cross section AB of a garage
door which is a rectangular 2.5-m by 5-m panel of
uniform thickness with a mass of 200 kg. The door
is supported by the struts of negligible mass and
hinged at O. Two spring-and-cable assemblies, one
on each side of the door, control the movement.
When the door is in the horizontal open position,
each spring is unextended. If the door is given a
slight imbalance from the open position and allowed
to fall, determine the value of the spring constant k
for each spring which will limit the angular velocity
of the door to 1.5 rad/s when edge B strikes the
floor.
Ans. k = 1.270 kN/m
90°
B\
| 2.5 m
1.25 m
1.25 m

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