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Question
Compare the components for the following vector equations
(a) `"T"hatj - "mg"hatj = "ma"hatj`
(b) `vecT + vecF = vecA + vecB`
(c) `vecT - vecF = vecA - vecB`
(d) `"T"hatj + "mg"hatj = "ma"hatj`
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Solution
Components of the vectors
(a) T – mg = ma
(b) `overlineT_x + overlineF_x = overlineA_x + overlineB_x` (Or)
`overlineT_y + overlineF_y = overlineA_y + overlineB_y`
(c) `overlineT_x - overlineF_x = overlineA_x + overlineB_x` (Or)
`overlineT_y - overlineF_y = overlineA_y + overlineB_y`
(d) T + mg = ma
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