2000 Paper 3 Q11

Year: 2000
Paper: 3
Question Number: 11

Course: zNo longer examinable
Section: Moments of inertia

Difficulty: 1700.0 Banger: 1484.0

moments of inertia rigid body rotation friction angular acceleration normal reaction energy conservation critical coefficient of friction

Problem

A thin beam is fixed at a height \(2a\) above a horizontal plane. A uniform straight rod \(ACB\) of length \(9a\) and mass \(m\) is supported by the beam at \(C\). Initially, the rod is held so that it is horizontal and perpendicular to the beam. The distance \(AC\) is \(3a\), and the coefficient of friction between the beam and the rod is \(\mu\). The rod is now released. Find the minimum value of \(\mu\) for which \(B\) strikes the horizontal plane before slipping takes place at \(C\).

No solution available for this problem.

Rating Information

Difficulty Rating: 1700.0

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Banger Rating: 1484.0

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Problem source

A thin beam is fixed at a height $2a$ above a horizontal plane. 
A uniform straight rod $ACB$ of length $9a$ and mass $m$ 
is supported by the beam at $C$. Initially, the rod  is held  
so that it is horizontal and perpendicular to the beam. 
The distance $AC$ is $3a$, and 
the coefficient of friction between the beam and the rod is $\mu$. 
 
The rod is now released.  
Find the minimum value of $\mu$ for which $B$ 
strikes the horizontal plane  
before slipping takes place at $C$.

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