| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2005 |
| Session | January |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Pulley systems |
| Type | Particle on rough horizontal surface, particle hanging |
| Difficulty | Standard +0.3 This is a standard M1 pulley problem requiring SUVAT equations, Newton's second law for two connected particles, and friction calculations. While it involves multiple steps (kinematics → dynamics → friction coefficient), each step follows routine procedures taught in M1 with no novel problem-solving required. The multi-part structure and 13 total marks indicate moderate length, but the techniques are all textbook applications, making it slightly easier than the average A-level question. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03k Connected particles: pulleys and equilibrium3.03o Advanced connected particles: and pulleys3.03r Friction: concept and vector form3.03t Coefficient of friction: F <= mu*R model |
| Answer | Marks |
|---|---|
| 5 | (a) ‘s = ut + ½at2’ for B: 0.4 = ½ a(0.5)2 M1 A1 |
Question 5:
5 | (a) ‘s = ut + ½at2’ for B: 0.4 = ½ a(0.5)2 M1 A1
a = 3.2 m s–2 A1
(3)
(b) N2L for B: 0.8g – T = 0.8 x 3.2 M1 A1√
↓
T = 5.28 or 5.3 N M1 A1
(4)
(c) A: F = μ x 0.5g B1
N2L for A: T – F = 0.5a M1 A1
↓
Sub and solve μ = 0.75 or 0.751 M1 A1
(5)
(d) Same acceleration for A and B. B1
(1)\includegraphics{figure_4}
A block of wood $A$ of mass 0.5 kg rests on a rough horizontal table and is attached to one end of a light inextensible string. The string passes over a small smooth pulley $P$ fixed at the edge of the table. The other end of the string is attached to a ball $B$ of mass 0.8 kg which hangs freely below the pulley, as shown in Figure 4. The coefficient of friction between $A$ and the table is $\mu$. The system is released from rest with the string taut. After release, $B$ descends a distance of 0.4 m in 0.5 s. Modelling $A$ and $B$ as particles, calculate
\begin{enumerate}[label=(\alph*)]
\item the acceleration of $B$, [3]
\item the tension in the string, [4]
\item the value of $\mu$. [5]
\item State how in your calculations you have used the information that the string is inextensible. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2005 Q5 [13]}}