1: A person in bus throws a ball straight up with a speed of 12 m/s. If the bus is moving at 25 m/s, what is the velocity of the ball to an observer on ground. ( Ans. VR = 28 m/s, θR = 26° )

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2: A football leaves the foot of a punter at an angle of 54° positive direction at a speed of 21 m/s. Determine the horizontal and vertical components of the velocity. (Ans. 12m/s and 17m/s) 


3: A 1.84 kg school bag hangs in the middle of a clothesline, causing it to sag by an angle θ = 3.50°. Find the tension in the clothesline. (Ans. 148N)

4: Find the magnitude and direction of vectors represented by the following pair of components

(a) `\ vec {Ax}` = - 2.3 cm, `\ vec {Ay}` = + 4.1 cm (b) `\ vec {Ax}` = +3.9 cm, `\ vec {Ay}` = -1.8 cm 
(Ans. (a) A= 4.7 and θ = 119.3°, (b) A = 4.3 and Î¸ = 335.2°)

5: Vector `\vec {F}` having magnitude 5.5 N makes 10° with x-xis and vector `\vec {r}` with magnitude 4.3 m makes 80°with x-xis. What is the magnitude of the dot and cross products? (Ans. 8.1 Nm and 22.2 Nm)

6: The magnitude of dot and cross product of two vectors 6`\ sqrt{3}`   and 6 respectively. Find the angle between the vectors. (Ans. 30°)


7: A uniform rod 1m long with weight 6 N can be supported in a horizontal position on a sharp edge with weights of 10 N and 15 N suspended from its ends. What is the position of point of balance? (Ans. 0.41 m)

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8: A 4.O m long uniform ladder with weight of 120 N leans against a wall making 70° above a cement floor as shown in Figure. Assuming the wall is frictionless, but the floor is not, determine the forces exerted on the ladder by the floor and by the wall. ( Ans. 122N) 


9: The 450-kg uniform I-beam supports the load of 220 kg as shown. Determine the reactions at the supports. (Ans. 2850 N) 

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