1998 Paper 2 Q9

Year: 1998
Paper: 2
Question Number: 9

Course: LFM Pure and Mechanics
Section: Newton's laws and connected particles

Difficulty: 1600.0 Banger: 1470.9

statics frameworks pin-jointed structure tension and compression equilibrium resolving forces hexagon light rods Newton's laws

Problem

A light smoothly jointed planar framework in the form of a regular hexagon \(ABCDEF\) is suspended smoothly from \(A\) and a weight 1kg is suspended from \(C\). The framework is kept rigid by three light rods \(BD\), \(BE\) and \(BF\). What is the direction and magnitude of the supporting force which must be exerted on the framework at \(A\)? Indicate on a labelled diagram which rods are in thrust (compression) and which are in tension. Find the magnitude of the force in \(BE\).

No solution available for this problem.

Rating Information

Difficulty Rating: 1600.0

Difficulty Comparisons: 0

Banger Rating: 1470.9

Banger Comparisons: 2

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Problem source

A light smoothly jointed planar framework in the form of a regular hexagon
$ABCDEF$ is
suspended smoothly from $A$ and a weight 1kg is suspended from $C$. 
The framework is kept rigid by three light
rods $BD$, $BE$ and $BF$.
What is the 
direction and magnitude of the supporting force which must be exerted on the
framework at $A$?
Indicate on a labelled
diagram which rods are in thrust (compression) and which are in tension.
Find the magnitude of the force in $BE$.

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