Problem 11: Particles A and B are traveling around a circular hoop at a speed of 8 m/s at the instant shown. If the speed of B is increasing at constant 4 m/s², and the speed of A is increasing at 0.8t m/s², determine: (a) The time to at which the particles will collide. Ans: t = 2.51s, 14.63 s (b) The magnitude of the accelerations of both particles just before the collision occurs. Ans: a₁ = 22.22, ag = 65.1 r=5m = 120 Problem 12: A boat has an initial speed of 16 ft/s. If it then increases its speed at the rate = 1.5s ft/s², where s is the distance travelled in ft, determine the time needed for the boat to travel s = 50 ft. The path of the boat is a circle of radius p = 80ft. Ans: t = 1.68 s

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 11: Particles A and B are traveling around a circular hoop at
a speed of 8 m/s at the instant shown. If the speed of B is increasing
at constant 4 m/s², and the speed of A is increasing at 0.8t m/s²,
determine:
(a) The time to at which the particles will collide.
Ans: t = 2.51s, 14.63 s
(b) The magnitude of the accelerations of both particles just before the
collision occurs.
Ans: a₁ = 22.22aB = (
aA
65.12
8 = 120⁰
r = 5m
Problem 12: A boat has an initial speed of 16 ft/s. If it then increases its speed at the rate = 1.5s
ft/s², where s is the distance travelled in ft, determine the time needed for the boat to travel s =
50 ft. The path of the boat is a circle of radius p = 80ft.
Ans: t = 1.68 s
Transcribed Image Text:Problem 11: Particles A and B are traveling around a circular hoop at a speed of 8 m/s at the instant shown. If the speed of B is increasing at constant 4 m/s², and the speed of A is increasing at 0.8t m/s², determine: (a) The time to at which the particles will collide. Ans: t = 2.51s, 14.63 s (b) The magnitude of the accelerations of both particles just before the collision occurs. Ans: a₁ = 22.22aB = ( aA 65.12 8 = 120⁰ r = 5m Problem 12: A boat has an initial speed of 16 ft/s. If it then increases its speed at the rate = 1.5s ft/s², where s is the distance travelled in ft, determine the time needed for the boat to travel s = 50 ft. The path of the boat is a circle of radius p = 80ft. Ans: t = 1.68 s
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