A uniform meter stick with a mass of 180 g is support horizontally by two vertical strings one at the 0-cm mark and the other at the 90-cm mark What is the tenion in the string (a) at 0 cm (b) at 90-cm

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-01-24

A uniform meter stick with a mass of 180 g is support horizontally by two vertical strings one at the 0-cm mark and the other at the 90-cm mark
What is the tenion in the string (a) at 0 cm (b) at 90-cm

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-01-25Added 106 answers

image

As shown in the figure Ti is the tension in the string at A and T2 in the string at B.
The weight of the scale acts down wards at the mid point of the scale. OA=50cm and OB=40cm.
Now taking the moments about A and B we have
About A
(T1×0)+(T2×90)=W×50 (sum of clock wise moments=sum of anticlockwise moments)
0+(T2×90)=176400×50
T2=98000 dynes
About B
(T1×90)+(T2×0)=W×40 (sum of clock wise moments = sum of anticlockwise moments)
(T1×90)+0=176400×40
T1=78400 dynes

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