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Question
Give an example for each of the following uses of a machine:
to change the point of application of force
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Solution
A lever is used to change the point of application of force.
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Fig. shows a uniform meter scale weighing 100 N pivoted at its centre. Two weights of 500 N and 300 N are hung from the ruler as shown in fig.
(i) Calculate total clockwise and anticlockwise moments.
(ii) Calculate difference in clockwise moment and anticlockwise moment.
(iii) Calculate the distance from O where a 100 N weight should be suspended to balance the meter scale.
Write the expression for the moment of force about a given axis.
Write the expression for calculating the moment of force about a given point.
Calculate the length of arm of couple, if a force of 13 N produces a moment of couple of 14.3 Nm.
Assertion & Reasoning
- Assertion: The sum of the clockwise moments is equal to the sum of the anticlockwise moments.
- Reason: The principle of conservation of momentum is valid if the external force on the system is zero.
Clockwise moment produced by a force about a fulcrum is considered to be ______.
A metal rod AB of length 80 cm is balanced at 45 cm from the end A with 100 gf weights suspended from the two ends.
- If this rod is cut at the center, C, then compare the weight of AC to the weight of BC. (Use >, < or =)
- Give a reason for your answer in (a).
