Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics

Based on the figure, determine the angle that the resultant of OA , BC and DE makes with the X-axis.

Options

A⁻¹(0.76)
B⁻¹(1.73)
C⁻¹(0.58)
D⁻¹(1.32)

Correct answer

D. ⁻¹(1.32)

Step-by-step solution

OA_x = 2.0 30^ = 2.0 3 2 1.732 m OA_y = 2.0 30^ = 2.0 1 2 = 1.0 m BC_x = -1.5 60^ = -1.5 1 2 = -0.75 m BC_y = 1.5 60^ = 1.5 3 2 1.299 m DE_x = 0 m DE_y = -1.0 m R_x = 1.732 - 0.75 + 0 = 0.982 m R_y = 1.0 + 1.299 - 1.0 = 1.299 m = R_y R_x = 1.299 0.982 1.32 = ⁻¹(1.32)

Practice Physics and Mathematics on Quantrex Academy →

More from Physics and Mathematics

Consider two vectors A and B , each having a magnitude of 10 unit. If these vectors are inclined to the X-axis at angles of 30^ and 60^ respectively, determine their resultant.Vector A has a magnitude of 3 m and is directed at an angle of 20^ to the X-axis, while vector B has a magnitude of 4 m and is directed at 110^ to the X-axis. Determine their resul Given the vectors a = 4 i + 3 j and b = 3 i + 4 j , evaluate the magnitude of a .Consider the vectors a = 4 i + 3 j and b = 3 i + 4 j . Calculate the magnitude of b .Suppose two vectors are given by a = 4 i + 3 j and b = 3 i + 4 j . Compute the magnitude of a + b .Two vectors are defined as a = 4 i + 3 j and b = 3 i + 4 j . Determine the magnitude of a - b .Determine the sum of vectors A , B , and C , each possessing a magnitude of 100 units and inclined to the X-axis at angles of 45^ , 135^ , and 315^ respectively.Based on the figure, determine the x and y components of the resultant of OA , BC and DE . Full Physics and Mathematics list All Concepts Of Physics MCQ Edition [Volume 1] PYQs