WAEC Further Mathematics 2022 Objective — Question 37
Question 37 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.
Advertisement
A particle is acted upon by forces F=(10N,060°), P=(15N,120°) and Q=(12N,200°). Express the force that will keep the particle in equilibrium in the form xi+yj, where x and y are scalars.
- A. 17.55i+13.78j
- B. 17.55i−13.78j
- C. −17.55i+13.78jCorrect
- D. −17.55i−13.78j
Explanation
Resolving all three forces: ΣF(x)=10sin60+15sin60−12sin20≈17.55N, ΣF(y)=10cos60−15cos60−12cos20≈−13.78N. The resultant is 17.55i−13.78j; the equilibrant (force needed for equilibrium) is the negative of this: −17.55i+13.78j.
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.