A uniform plank 9m long of mass 80 kg is horizontal. It is supported by vertical strings attached at 1m and 8 m from one end. What is the mass of an object which should be placed on one end, so that the tension in one string just vanishes lil the tension in one string is double the tension in the other. In Figure 8.30, Y is the resultan

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O A uniform plank 9m long of mass 80 kg is horizontal. It is supported by
vertical strings attached at 1m and 8 m from one end.
What is the mass of an obiect which should be placed on one end, so that
8
the tension in one string just vanishes
lil the tension in one string is double the tension in the other.
10 In Figure 8.30, Y is the resultant of the two forces XN and 4N acting at P
and Q, respectively where PQ is horizontal. Find X and Y.
YN
AXN
A 4N
2m
4m
Figure 8.30
O Figure 8.31 shows a rigid, horizontal rod AB. Find the magnitude, direction
and line of action of the resultant of this system of forces acting on AB.
AIN
A4N
B
1m
2m
2m
1 m
bs dairlweoiole to inemY2n aTS
5N
elpne ne ie
2 A rigid rod AB, of mass 10kg and length 3m, whose centre of mass is 125 cm
from A, is suspended horizontally by two vertical strings attached to points C
and D, 50 cm from each end. Each string could just support the weight of the
rod. Particles of mass m, kg and m, kg are placed at A and B, respectively.
Figure 8.31
ti Show that the tension in one of the strings is (15-m, +5m,)
and find the tension in the other string.
tii) Find the values of m, and m, when both the strings are on the point of
breaking.
EXPERIMENT 8.1
Set up the apparatus shown in Figure 8.32 and experiment with two or more
weights in different positions.
clamp stand
metre rule
movable hanger
smooth pivot
mass, M,
mass, M
at centre
of rule
Figure 8.32
171
2 AS
Chapter 8 Moments of forces
Transcribed Image Text:O A uniform plank 9m long of mass 80 kg is horizontal. It is supported by vertical strings attached at 1m and 8 m from one end. What is the mass of an obiect which should be placed on one end, so that 8 the tension in one string just vanishes lil the tension in one string is double the tension in the other. 10 In Figure 8.30, Y is the resultant of the two forces XN and 4N acting at P and Q, respectively where PQ is horizontal. Find X and Y. YN AXN A 4N 2m 4m Figure 8.30 O Figure 8.31 shows a rigid, horizontal rod AB. Find the magnitude, direction and line of action of the resultant of this system of forces acting on AB. AIN A4N B 1m 2m 2m 1 m bs dairlweoiole to inemY2n aTS 5N elpne ne ie 2 A rigid rod AB, of mass 10kg and length 3m, whose centre of mass is 125 cm from A, is suspended horizontally by two vertical strings attached to points C and D, 50 cm from each end. Each string could just support the weight of the rod. Particles of mass m, kg and m, kg are placed at A and B, respectively. Figure 8.31 ti Show that the tension in one of the strings is (15-m, +5m,) and find the tension in the other string. tii) Find the values of m, and m, when both the strings are on the point of breaking. EXPERIMENT 8.1 Set up the apparatus shown in Figure 8.32 and experiment with two or more weights in different positions. clamp stand metre rule movable hanger smooth pivot mass, M, mass, M at centre of rule Figure 8.32 171 2 AS Chapter 8 Moments of forces
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