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### JARODNOM

#### Cambridge International AS and A Level

 Name of student JARODNOM Date Adm. number Year/grade 1993 Stream Jarodnom Subject Mechanics 2 (M2) Variant(s) P41, P42, P43 Start time Duration Stop time

Qtn No. 1 2 3 4 5 6 Total
Marks 5 5 7 7 7 8 39
Score

Get Mathematics 9709 Topical Questions (2010-2021) for $14.5 per Subject. Attempt all the 6 questions Question 1 Code: 9709/51/M/J/10/4, Topic: - A uniform lamina of weight$15 \mathrm{~N}$is in the form of a trapezium$A B C D$with dimensions as shown in the diagram. The lamina is freely hinged at$A$to a fixed point. One end of a light inextensible string is attached to the lamina at$B$. The lamina is in equilibrium with$A B$horizontal; the string is taut and in the same vertical plane as the lamina, and makes an angle of$30^{\circ}$upwards from the horizontal (see diagram). Find the tension in the string.$[5]$Question 2 Code: 9709/52/M/J/10/4, Topic: - Question 3 Code: 9709/53/M/J/10/4, Topic: -$A B$is the diameter of a uniform semicircular lamina which has radius$0.3 \mathrm{~m}$and mass$0.4 \mathrm{~kg}$. The lamina is hinged to a vertical wall at$A$with$A B$inclined at$30^{\circ}$to the vertical. One end of a light inextensible string is attached to the lamina at$B$and the other end of the string is attached to the wall vertically above$A$. The lamina is in equilibrium in a vertical plane perpendicular to the wall with the string horizontal (see diagram).$\text{(i)}$Show that the tension in the string is$2.00 \mathrm{~N}$correct to 3 significant figures.$[4]\text{(ii)}$Find the magnitude and direction of the force exerted on the lamina by the hinge.$[3]$Question 4 Code: 9709/51/O/N/10/4, Topic: - A uniform beam$A B$has length$2 \mathrm{~m}$and weight$70 \mathrm{~N}$. The beam is hinged at$A$to a fixed point on a vertical wall, and is held in equilibrium by a light inextensible rope. One end of the rope is attached to the wall at a point$1.7 \mathrm{~m}$vertically above the hinge. The other end of the rope is attached to the beam at a point$0.8 \mathrm{~m}$from$A$. The rope is at right angles to$A B$. The beam carries a load of weight$220 \mathrm{~N}$at$B$(see diagram).$\text{(i)}$Find the tension in the rope.$[3]\text{(ii)}$Find the direction of the force exerted on the beam at$A$.$[4]$Question 5 Code: 9709/52/O/N/10/4, Topic: - Question 6 Code: 9709/53/O/N/10/4, Topic: - A uniform rod$A B$has weight$15 \mathrm{~N}$and length$1.2 \mathrm{~m}$. The end$A$of the rod is in contact with a rough plane inclined at$30^{\circ}$to the horizontal, and the rod is perpendicular to the plane. The rod is held in equilibrium in this position by means of a horizontal force applied at$B$, acting in the vertical plane containing the rod (see diagram).$\text{(i)}$Show that the magnitude of the force applied at$B$is$4.33 \mathrm{~N}$, correct to 3 significant figures.$[3]\text{(ii)}$Find the magnitude of the frictional force exerted by the plane on the rod.$[2]\text{(iii)}$Given that the rod is in limiting equilibrium, calculate the coefficient of friction between the rod and the plane.$[3]\$

Worked solutions: P1, P3 & P6 (S1)

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