Try to model the SHM motion using a trigonometric function such as -Acos(ωt), where the barrier starts from the bottom. The height of the barrier moves is 2A.
Assume that the barrier starts at the bottom or -A, the barrier first reaches (-A + 0.60 m) at time t1 and then at time t2. The time difference between t1 and t2 will be the maximum time.
Frequency of oscillation = 2pi/4.5 =4pi/9 Amplitude of oscillation = 1.15 m x = 1.15 cos 4pi t /9 0.6 m means the amplitude is -0.55m
0.55 = 1.15 cos 1.4 t t = 0.766 s
so time = 4.5 - 2 x 0.766 = 3.0 s
I got a notification that you quoted my post. It seems to say something like the maximum time is the time above 0.6 m. What is wrong with my proposed working?
Try to model the SHM motion using a trigonometric function such as -Acos(ωt), where the barrier starts from the bottom. The height of the barrier moves is 2A.
Assume that the barrier starts at the bottom or -A, the barrier first reaches (-A + 0.60 m) at time t1 and then at time t2. The time difference between t1 and t2 will be the maximum time.
I don’t really understand ‘ Assume that the barrier starts at the bottom or -A, the barrier first reaches (-A + 0.60 m) at time t1 and then at time t2. The time difference between t1 and t2 will be the maximum time’ can you explain a bit more?many thanks!!!
I don’t really understand ‘ Assume that the barrier starts at the bottom or -A, the barrier first reaches (-A + 0.60 m) at time t1 and then at time t2. The time difference between t1 and t2 will be the maximum time’ can you explain a bit more?many thanks!!!
If you look at the picture, the black line represents the ground. When I say “Assume that the barrier starts at the bottom or -A,” meaning the bottom of the barrier starts its motion from the ground. (I know the description is bad in the previous post. )
The pink line in the picture shows the position of (-A + 0.60 m) from the ground while the red curve is modelling the motion of the bottom of the barrier (in fact it is more correct to say the displacement of the bottom of the barrier). When the bottom of the barrier reaches the position (-A + 0.60 m) for the first time is around 0.7 s and the second time is around 3.7 s as shown by the intersection between the pink line and red curve. The difference between the 2 timings would be the maximum time.
If you look at the picture, the black line represents the ground. When I say “Assume that the barrier starts at the bottom or -A,” meaning the bottom of the barrier starts its motion from the ground. (I know the description is bad in the previous post. )
The pink line in the picture shows the position of (-A + 0.60 m) from the ground while the red curve is modelling the motion of the bottom of the barrier. When the bottom of the barrier reaches the position (-A + 0.60 m) for the first time is around 0.7 s and the second time is around 3.7 s as shown by the intersection between the pink line and red curve. The difference between the 2 timings would be the maximum time.
If you look at the picture, the black line represents the ground. When I say “Assume that the barrier starts at the bottom or -A,” meaning the bottom of the barrier starts its motion from the ground. (I know the description is bad in the previous post. )
The pink line in the picture shows the position of (-A + 0.60 m) from the ground while the red curve is modelling the motion of the bottom of the barrier. When the bottom of the barrier reaches the position (-A + 0.60 m) for the first time is around 0.7 s and the second time is around 3.7 s as shown by the intersection between the pink line and red curve. The difference between the 2 timings would be the maximum time.
But I don’t understand why it would reach the position(-A+0.6)?
But I don’t understand why it would reach the position(-A+0.6)?
I am not sure how can explain this. The question states that "A contestant requires a space at least 0.6 m high to get under the barrier." So the barrier need to moves up by 0.6 m.
If you are at basement level 5, which i called -5, when you move up 3 levels, isn't -5 + 3.
I am not sure how can explain this. The question states that "A contestant requires a space at least 0.6 m high to get under the barrier." So the barrier need to moves up by 0.6 m.
If you are at basement level 5, which i called -5, when you move up 3 levels, isn't -5 + 3.