OCR MEI
Further Mechanics Major
2021
November
— Question 10
Exam Board
OCR MEI
Module
Further Mechanics Major (Further Mechanics Major)
Year
2021
Session
November
Topic
Work, energy and Power 2
Determine the magnitude of the normal reaction of the wire on P in terms of \(m , g , a , u\) and \(\theta\), when P is between B and C .
P collides with a fixed barrier at C . The coefficient of restitution between P and the fixed barrier is \(e\). After this collision P moves back towards B .
On the straight portion BA , the motion of P is resisted by a constant horizontal force \(F\).
Show that P will reach A if
$$F b \leqslant \frac { 1 } { 2 } m \left[ e ^ { 2 } u ^ { 2 } + k \left( 1 - e ^ { 2 } \right) g a \right] ,$$
where \(k\) is an integer to be determined.