A uniform plank has length 6m and mass 40 kg. It is placed on horizontal ground at the edge of a vertical river bank, so that 1.5 m of the plank is projecting over the edge, as shown in Figure 8.27. 6m 1.5m Figure 8.27 How far can a man of mass 70 kg walk along the plank without tipping it?

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A uniform plank has length 6m and mam 40kg It is placed on horizontal ground at the edge of a vertical river bank, so that 1.5m of the plank is peojecting over the edge, as shown in Figure.27.

 

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2:37 4
l 4G
Oleksandr
All Media
29/07/2021, 11:13 a.m.
AS
Introduction to moments
O A uniform plank has length 6m and mass 40 kg. It is placed on horizontal
ground at the edge of a vertical river bank, so that 1.5 m of the plank is
projecting over the edge, as shown in Figure 8.27.
6m
1.5m
Figure 8.27
How far can a man of mass 70 kg walk along the plank without tipping it?
6 Two young children of mass 30 kg and 35 kg sit at the ends of a see-saw
Each child is 2.5 m from the fulcrum. Their father whose mass is 75 kg joins
them. Where must he sit in order for the see-saw to balance?
O A light rod, 2m long is hanging horizontally supported by vertical strings at
each end. The maximum tension which the strings can exert is 80 N.
Along what range of positions on the rod is it safe to hang a 10kg mass.
O A sign consists of a uniform rectangular lamina of weight 50 N. It is
suspended in equilibrium in a vertical plane by vertical light chains
attached to the sign at the points A and B, with AB horizontal, as shown
A lamina is a flat
object that has
negligible thickness
compared with its
length and width
in Figure 8.28.
0.45 m
0.15 m
В
Figure 8.28
li) Draw a diagram showing all the forces acting on the sign.
lii) Find the tensions in the chains.
® AB represents a uniform horizontal shelf of weight 30N which is supported
at X and Y. Blocks are placed along the shelf, as shown in Figure 8.29.
30 cm
30 cm
120 cm
60 cm
2 kg
3 kg
5 kg
A
45 cm
135 cm
Figure 8.29
lil Find the reaction forces of the supports on the shelf at X and Y.
tH What is the greatest mass of an object which can be placed at D
without the shelf tipping?
Transcribed Image Text:2:37 4 l 4G Oleksandr All Media 29/07/2021, 11:13 a.m. AS Introduction to moments O A uniform plank has length 6m and mass 40 kg. It is placed on horizontal ground at the edge of a vertical river bank, so that 1.5 m of the plank is projecting over the edge, as shown in Figure 8.27. 6m 1.5m Figure 8.27 How far can a man of mass 70 kg walk along the plank without tipping it? 6 Two young children of mass 30 kg and 35 kg sit at the ends of a see-saw Each child is 2.5 m from the fulcrum. Their father whose mass is 75 kg joins them. Where must he sit in order for the see-saw to balance? O A light rod, 2m long is hanging horizontally supported by vertical strings at each end. The maximum tension which the strings can exert is 80 N. Along what range of positions on the rod is it safe to hang a 10kg mass. O A sign consists of a uniform rectangular lamina of weight 50 N. It is suspended in equilibrium in a vertical plane by vertical light chains attached to the sign at the points A and B, with AB horizontal, as shown A lamina is a flat object that has negligible thickness compared with its length and width in Figure 8.28. 0.45 m 0.15 m В Figure 8.28 li) Draw a diagram showing all the forces acting on the sign. lii) Find the tensions in the chains. ® AB represents a uniform horizontal shelf of weight 30N which is supported at X and Y. Blocks are placed along the shelf, as shown in Figure 8.29. 30 cm 30 cm 120 cm 60 cm 2 kg 3 kg 5 kg A 45 cm 135 cm Figure 8.29 lil Find the reaction forces of the supports on the shelf at X and Y. tH What is the greatest mass of an object which can be placed at D without the shelf tipping?
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