Homework 1- A golfer hits a golf ball from point A with an initial velocity of 50 m/s at an angle of 25° with the horizontal. Determine the radius of curvature of the trajectory described by the ball (a) at point A. (b) at the highest point of the trajectory. 2- The rotation of rod OA about 0 is defined by the relation 8 = n(4t? - 8t), where e and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from 0 is r = 10 + 6 sin nt, where r and t are expressed in inches and seconds, respectively. When t = 1 s, determine (a) the velocity of the collar, (b) the total acceleration of the collar, (c) the acceleration of the collar relative to the rod. 33 Asst. Prof. Dr. Waleed Al-Ashtari College of Engineering / University of Baghdad Dynamics 3- Pin A, which is attached to link AB, is constrained to move in the circular slot CD. Knowing that at t = 0 the pin starts from rest and moves so that its speed increases at a constant rate of 20 mm/s?, determine the magnitude of its total acceleration when (a) t = 0, (b) t = 2 s. 4- A monorail train starts from rest on a curve of radius 400 m and accelerates at the constant rate a,. If the maximum total acceleration of the train must not exceed 1.5 m/ s2, determine (a) the shortest distance in which the train can reach a speed of 72 km/h, (b) the corresponding constant rate of acceleration a.. 5- A basketball is bounced on the ground at point A and rebounds with a velocity vzof magnitude 7.5 ft/s as shown. Determine the radius of curvature of the trajectory described by the ball (a) at point A, (b) at the highest point of the trajectory. 15

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.