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1. Determine the magnitude and direction of the resultant force R for the two coplanar forces shown. • Draw the force triangle. • Use the triangle rule and the Law of Sines and the Law of Cosines to solve the problem. Do not resolve the forces into components to find the resultant force. 2. Determine the magnitude and direction of the resultant force R for the three coplanar forces shown. 3. Determine the resultant force R for the two 3-D forces shown. • List the magnitudes of the components of the resultant force. • List the direction cosines for the resultant force. • Show both vector forms of the resultant force. 4. The force vector F is given below. Find the components of the force vector F that are parallel and perpendicular to the line that extends from point A to point B. The coordinates of points A and B are shown in the sketch. F = 6 i - 9 j + 3 k kips 5. Four forces (including the weight of the cylinder) are applied to a ring at point A as shown. Knowing that the system is in equilibrium, determine the magnitude and direction of the unknown force T. Note: The actual direction of T may be different from that shown in the diagram. The weight of the cylinder (a vertical force) is 1000 lb.

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