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Hello everyone.
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In this question we have given four cases in which we have given the magnitude and angle with x -axis in anticlockwise direction of the vectors.
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We have to find x and y components of the given vectors.
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In first case a we have given magnitude as 41 .0 newton and angle at 45 degree.
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Clearly its x and y components are a x is equal to a cost 45, that means 41 .0 multiply by cost 45.
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So this implies a x is equal to 41 .1 divided by root 2 newton.
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Similarly, a y is equal to a sign 45 and this implies a y is equal to 41 divided by root 2 newton.
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So, a x is equal to 41 divided by root 2 newton and a y is equal to 41 divided by root 2 newton.
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Now, case second b, the magnitude is 73 .0 meter per second at an angle 5 pi divided by 6, that means 150 degree.
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So, its x component will be equal to b cost 150.
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So this equal to 73 multiplied by minus cost 30 degree.
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On solving this, we get vx is equal to minus 73 root 3 divided by 2.
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Similarly, v .y is equal to b sine 150.
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To 73 multiply sine 30.
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So, by is equal to 73 divided by 2...