The diagram below shows a T shaped beam which is formed by two perpendicular beams PQ and AB joined together at the point Q as shown in the diagram. Each of the beams PQ and AB have length L and mass M. The T shaped beam is hung from a ceiling from a frictionless pivot at the point P. The beam is initially held at rest at an angle 0 to the vertical by means of a string parallel to the beam AB and connected to the beam at the point A. The moment of inertia about the centre of mass of a beam of mass M and length L is ICM ML.
The diagram below shows a T shaped beam which is formed by two perpendicular beams PQ and AB joined together at the point Q as shown in the diagram. Each of the beams PQ and AB have length L and mass M. The T shaped beam is hung from a ceiling from a frictionless pivot at the point P. The beam is initially held at rest at an angle 0 to the vertical by means of a string parallel to the beam AB and connected to the beam at the point A. The moment of inertia about the centre of mass of a beam of mass M and length L is ICM ML.
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Question
(A) What is the tension in the string when the T-beam is held at rest as shown in the diagram?
(B) What are the x and y components of the force acting on the pivot P when the T-beam is held at rest?
Transcribed Image Text:The diagram below shows a T shaped beam which is formed by two perpendicular beams PQ and
AB joined together at the point Q as shown in the diagram. Each of the beams PQ and AB have
length L and mass M. The T shaped beam is hung from a ceiling from a frictionless pivot at the
point P. The beam is initially held at rest at an angle 0 to the vertical by means of a string parallel
to the beam AB and connected to the beam at the point A.
The moment of inertia about the centre of mass of a beam of mass M and length L is ICM = ML².
B
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