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.

Elements Of Electromagnetics
7th Edition
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ChapterMA: Math Assessment
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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 0 = n(4t2 - 8t), where 0
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.
D.
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 az.
5- A basketball is bounced on the ground at point A and rebounds with a velocity v,of
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°
Transcribed Image Text: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 0 = n(4t2 - 8t), where 0 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. D. 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 az. 5- A basketball is bounced on the ground at point A and rebounds with a velocity v,of 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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