Find the Work Done by the Force Field $\mathbf { F } ( x , y ) = 24 x \mathbf { i } + 12 ( 2 y + 1 ) \mathbf { j }$

Short Answer

Find the work done by the force field $\mathbf { F } ( x , y ) = 24 x \mathbf { i } + 12 ( 2 y + 1 ) \mathbf { j }$ in moving an object along an arch of the cycloid $\mathbf { r } ( t ) = ( t - \sin ( t ) ) \mathbf { i } + ( 1 - \cos ( t ) ) \mathbf { j } , \quad 0 \leq t \leq 2 \pi$ .