Question

The position vectors particle has length
1m and makes 30° with the x-axis.
What are the lengths of the x and y
components of the position vector?​

Answer 1

Answer:

• Component of AS along x - axis = 0.866m.

• Component of AS along y - axis = 0.5 m.

Explanation:

According to figure,

• SJ is the component of AS along x - axis.

• RS is the component of AS along y - axis.

In ΔSAJ,

[ For x - axis ]

↪ Cos30° = SJ/AS

↪√3/2 = 1/AS

↪ AS = √3/2 × 1

↪ AS = √3/2

↪AS= 1.732 / 2

↪ AS = 0.866m

Similarly,

[ For y - axis ]

↪ Sin30° = AJ/AS

↪ 1/2 = 1/AS

↪ 1/2 = 1/AS

↪ AS = 1/2

↪ AS = 0.5m

Answer 2

Hi mate

Refer the attachment

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