CAIE M2 2012 June — Question 1 2 marks

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2012
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCircular Motion 2
TypeAngular speed and period
DifficultyEasy -1.2 This is a straightforward application of the basic formula v = rω, requiring only a single-step rearrangement to find ω = v/r. It tests direct recall of the relationship between linear and angular speed with no problem-solving or conceptual challenge beyond substitution.
Spec6.05a Angular velocity: definitions
1 The end \(A\) of a \(\operatorname { rod } A B\) of length 1.2 m is freely pivoted at a fixed point. The rod rotates about \(A\) in a vertical plane. Calculate the angular speed of the rod at an instant when \(B\) has speed \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
Question 1:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(0.6 = 1.2\omega\)M1 Uses \(v = r\omega\)
\(\omega = 0.5 \text{ rads}^{-1}\)A1 [2] 
## Question 1:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $0.6 = 1.2\omega$ | M1 | Uses $v = r\omega$ |
| $\omega = 0.5 \text{ rads}^{-1}$ | A1 [2] | |

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1 The end $A$ of a $\operatorname { rod } A B$ of length 1.2 m is freely pivoted at a fixed point. The rod rotates about $A$ in a vertical plane. Calculate the angular speed of the rod at an instant when $B$ has speed $0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.

\hfill \mbox{\textit{CAIE M2 2012 Q1 [2]}}
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