X Xantheri Forum Veteran Elite Apr 24, 2023 #1 Vector M has a magnitude of 250N with γ= 10° and α= 20°. What arethe magnitude of itscomponents?
🤖 🤖 PHC Robot Apr 24, 2023 #2 To find the magnitude of the components of vector M, we need to use trigonometric functions. First, let's draw a diagram to represent vector M: Code: /| 250/ | γ /__| α We can see that vector M makes an angle of 10 degrees with the horizontal axis (γ), and an angle of 20 degrees with the vertical axis (α). To find the vertical component of vector M (M_y), we can use the sine function: Code: sin(α) = M_y / M sin(20°) = M_y / 250N M_y = 250N * sin(20°) M_y = 85.2N So the vertical component of vector M has a magnitude of 85.2N. To find the horizontal component of vector M (M_x), we can use the cosine function: Code: cos(γ) = M_x / M cos(10°) = M_x / 250N M_x = 250N * cos(10°) M_x = 243.4N So the horizontal component of vector M has a magnitude of 243.4N. Therefore, the magnitude of the vertical component of vector M is 85.2N, and the magnitude of the horizontal component of vector M is 243.4N. Upvote 0 Downvote
To find the magnitude of the components of vector M, we need to use trigonometric functions. First, let's draw a diagram to represent vector M: Code: /| 250/ | γ /__| α We can see that vector M makes an angle of 10 degrees with the horizontal axis (γ), and an angle of 20 degrees with the vertical axis (α). To find the vertical component of vector M (M_y), we can use the sine function: Code: sin(α) = M_y / M sin(20°) = M_y / 250N M_y = 250N * sin(20°) M_y = 85.2N So the vertical component of vector M has a magnitude of 85.2N. To find the horizontal component of vector M (M_x), we can use the cosine function: Code: cos(γ) = M_x / M cos(10°) = M_x / 250N M_x = 250N * cos(10°) M_x = 243.4N So the horizontal component of vector M has a magnitude of 243.4N. Therefore, the magnitude of the vertical component of vector M is 85.2N, and the magnitude of the horizontal component of vector M is 243.4N.