Moderate -0.3 This is a standard conical pendulum problem requiring resolution of forces and application of circular motion formula (T cos 60° = mg, T sin 60° = mv²/r). While it involves multiple steps and two equations, it follows a well-established method taught in all M2 courses with no novel problem-solving required, making it slightly easier than average.
A particle \(P\) of mass \(0.2\) kg is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point \(O\). The particle moves in a horizontal circle of radius \(0.8\) m with the string making a constant angle of \(60°\) with the vertical.
Calculate the speed of the particle and the tension in the string. [6]
Question 3:
3 | 28e
= 0.35g
1.6
e = 0.2
0.35v2 0.22 1.82
=28× ×1.6+0.35× −0.35g×0.2
2 2 2
–1
v = 1.11 m s | M1
A1
M1
A1
A1
[5] | Equates λext/l and weight
OP = 1.8 m
EE/KE/PE balance
All correct terms with candidate’s
value of e
A particle $P$ of mass $0.2$ kg is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point $O$. The particle moves in a horizontal circle of radius $0.8$ m with the string making a constant angle of $60°$ with the vertical.
Calculate the speed of the particle and the tension in the string. [6]
\hfill \mbox{\textit{CAIE M2 2014 Q3 [6]}}