Explanations & Calculations
- What is asked is the vector addition of 2 vectors and the included angle is given.
- In such a case, using the equation R2=P2+Q2+2PQcosθ, the magnitude of their resultant (R) can be calculated.
- Now the two forces are P=2A and Q=3B
- Then the corresponding magnitudes are
∣P∣=P=∣2A∣=2∣A∣=2×4units=8units
∣Q∣=Q=∣3Q∣=3∣Q∣=3×6units=18units.
- Then plugging these data in the above equation,
R2R=82+182+2(8)(18)cos60=532units2=23.065N
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