Question

15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are ?1 = 30° and ?2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.

Name: 15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are ?1 = 30° and ?2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.
Uploaded: 2022-02-01T19:15:09-08:00
Duration: 5 min 28 s
Channel: Gopi Z
Description: 15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are ?1 = 30° and ?2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.

          15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are ?1 = 30° and ?2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.

15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are ?1 = 30° and ?2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.

Added by Shawn R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gopi Z

02/01/2022

Step 1

Given that vector A makes an angle of 30° with the x-axis and vector B makes an angle of 105° with the x-axis, we can calculate the x-components as follows: \[ \text{X-component of A} = 10 \, \text{m} \times \cos(30°) = 10 \, \text{m} \times \frac{\sqrt{3}}{2} = Show more…

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15 SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are θ1 = 30° and θ2 = 105°. Find the (a) x and (b) y components of their vector sum r, (c) the magnitude of r, and (d) the angle r makes with the positive direction of the x axis.