Resolving Vector Components with Trigonometry (figure 1) Often a vector is speci

Question

Resolving Vector Components with Trigonometry (figure 1) Often a vector is specified by a magnitude and a direction: for example, a rope with tension T exerts a force of magnitude T in a direction 35 degree north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system. Part A Find the components of the vector A with length a = 1.00 and angle alpha =15.0 degree with respect to the x axis as shown. Enter the x component followed by the y component, separated by a comma. Part B Find the components of the vector B with length b = 1.00 and angle beta =10.0 degree with respect to the x axis as shown. Enter the x component followed by the y component, separated by a comma. Part C Find the components of the vector C with length c = 1.00 and angle phi = 35.0 degree as shown. Enter the x component followed by the y component, separated by a comma.

Explanation / Answer

part A)

Here ,

A = (A * cos(alpha) , A * sin(alpha))

A = (1 * cos(15) , 1 * sin(15))

A = (0.97 , 0.259)

the components of A are (0.97 , 0.259)

part B)

B = (b * cos(beta) , b * sin(beta))

B = (1 * cos(10) , 1 * sin(10))

B = ( 0.984 , 0.174 )

the components of B are ( 0.984 , 0.174 )

part C)

C = (c * sin(-phi) , c * cos(phi))

C = (1* sin(-35) , cos(35))

C = ( - 0.574 , 0.819)

the compoenents of C are ( - 0.574 , 0.819)

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.