Two forces of magnitude 40 newtons (N) and 20 N act on an object at angles of 30° and -45° with the positive x-axis as shown in the figure. Find the direction and magnitude of the resultant force; that is, find F1 + F2. = 40 N 30 - 45 |F,| = 20 N

An antelope is being pulled by two forces whose vector-component expressions are: What is the angle (in degrees) between these two vectors? F₁ = 0.5Ni + -8.4Nj + -4.1Nk F2 = 0.5Ni + -4.8Nj + -7.5Nk

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An antelope is being pulled by two forces whose vector-component expressions are: F1 = -6Ni + -7.5Nj + -9.2Nk F2 = -0.9Ni + 0.1Nj + -6.7Nk What is the angle (in degrees) between these two vectors?

Find the resultant of these three forces. Note the angle give for F3 is the angle between F2 and F3; to find the angle to use to get F3's x and y components, add the given angles together. F₂ = 3150 N F3 = 3680 N 42.0⁰ 120.0° F₁ = 2550 N

Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in the figure below. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) P₂-205N F₁-205 N 2626 Find the magnitude (in N) and direction (in degrees counterclockwise from the dotted line) of the total force on the Achilles tendon. 410 XN magnitude direction Xcounterclockwise from the dotted Ine What type of movement could be caused by this force? o This force can raise the heel of the foot This force can twist the ankle to the left or night. This force can turn the foot to the left or right This force can lower the heel of the foot

Express the forces F₁, F2 in vector form. Determine the vector expression for the resultant R of two forces. Find the magnitude and coordinate direction angles of resultant R with x, y and z axis. 6 ft 13/12 2.5 ft 4 ft F₁-80 lb A F₁-50 lb

Consider the 2 kN force and an unknown force FB representing the forces exerted by the tugboats as shown in the figure and that the vector sum/resultant (R) of these two forces is 3 kN с y |F₁ = 2 kN 30° FB A B directed purely along x. What gives the closest value of the angle of the force FB?

1. If = 45°, F₁ = 5 kN, and the resultant force is 6 kN oriented along the given orientation of the +y-axis, determine the magnitude of F2 and its corresponding angle 8. (15) 60°

An antelope is being pulled by two forces whose vector-component expressions are: F1 = -9.9Ni + 8.7Nj + -4.2Nk F2 = -6Ni + -5Nj + 4.1Nk What is the angle (in degrees) between these two vectors?