Question

hi I have a calculus question it says Two forces of 70 N act on an object. The forces form an angle of 57degree between them. Calculates the resultant force and the force that must be applied to the object to create balance. (Shows diagram of force vectors.)

Answer 1

`\\ \tt\rightarrowtail \vec{R}=\sqrt{(\vec{A})^2+(\vec{B})^2+2ABcos\theta}`

`\\ \tt\rightarrowtail \vec{R}=√((70)^2+(70)^2+2(140)cos57)`

`\\ \tt\rightarrowtail \vec{R}=√(9800+280(0.54))`

`\\ \tt\rightarrowtail \vec{R}=√(9951.2)`

`\\ \tt\rightarrowtail \vec{R}=99.7N`