A uniform beam PQ of length 80 cm and weight 60 N rests on a
FURTHER MATHEMATICS
WAEC 2023
A uniform beam PQ of length 80 cm and weight 60 N rests on a support at X where | PX | = 30 cm. If the body is kept in equilibrium by a mass m kg which is placed at P , calculate the value of m [Take g = 10 ms-2]
- A. 2.0
- B. 3.0
- C. 2.5
- D. 4.0
Correct Answer: A. 2.0
Explanation
∑ clock wise moments =∑ anti clock wise moments
= 60 x 10 = 30 x m
= 600 = 30 m
m = \(\frac{600}{30} = 20 N\)
W = mg ==> m = \(\frac{W}{g}\)
∴ m = \(\frac{20}{10} = 2kg\)
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