Two sinusoidal waves of the same frequency are to be sent in the same direction along a taut string. One wave has an amplitude of 5.0 mm. the other 8.0 mm. (a) What phase difference ϕ 1 between the two waves results in the smallest amplitude of the resultant wave? (b) What is that smallest amplitude? (c) What phase difference ϕ 2 results in the largest amplitude of the resultant wave? (d) What is that largest amplitude? (e) What is the resultant amplitude if the phase angle is ( ϕ 1 − ϕ 2 )/2?
Two sinusoidal waves of the same frequency are to be sent in the same direction along a taut string. One wave has an amplitude of 5.0 mm. the other 8.0 mm. (a) What phase difference ϕ 1 between the two waves results in the smallest amplitude of the resultant wave? (b) What is that smallest amplitude? (c) What phase difference ϕ 2 results in the largest amplitude of the resultant wave? (d) What is that largest amplitude? (e) What is the resultant amplitude if the phase angle is ( ϕ 1 − ϕ 2 )/2?
Two sinusoidal waves of the same frequency are to be sent in the same direction along a taut string. One wave has an amplitude of 5.0 mm. the other 8.0 mm. (a) What phase difference ϕ1 between the two waves results in the smallest amplitude of the resultant wave? (b) What is that smallest amplitude? (c) What phase difference ϕ2 results in the largest amplitude of the resultant wave? (d) What is that largest amplitude? (e) What is the resultant amplitude if the phase angle is (ϕ1 − ϕ2)/2?
4
Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad,
the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec².
What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector
in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle
by observing a right triangle. (20 pts)
Ꮎ
2 m
Figure 3: Particle pushed by rod along vertical path.
4
Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad,
the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec².
What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector
in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle
by observing a right triangle. (20 pts)
Ꮎ
2 m
Figure 3: Particle pushed by rod along vertical path.
please solve and answer the question correctly. Thank you!!
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