A mass in the diagram below undergoes simple harmonic When the mass reaches point x = +A its instantaneous velocity is:

Question

BlackTom AI · Accepted Answer

A mass in simple harmonic motion (SHM) moves between -A and +A with its velocity depending on position. In SHM, the velocity is maximum when the displacement is zero (x = 0) and goes to zero at the turning points (x = ±A).

Option 1: 'Maximum and negative' — This would imply a nonzero velocity at x = +A, which contradicts the turning-point condition in SHM where velocity is zero at the extremes. Therefore this is incorrect.

Option 2: 'Maximum and positive' — Similar to option 1, it asserts a nonzero velocity at x = +A. At the extreme right, the mass momentarily stops before reversing direction, so velocity is not maximum here. This is incorrect.

Option 3: 'Zero' — This matches the key property of SHM: at the turning point x = +A, the velocity is zero because the mass changes direction there. This is the correct description of the instantaneous velocity at that position.

Option 4: 'Less than maximum' — While velocity is less than maximum at most positions, at x = +A the velocity is actually zero (the minimum possible magnitude in SHM), not merely less than the maximum value. This makes the statement incorrect.

In summary, the only statement consistent with SHM at the displacement x = +A is that the instantaneous velocity is zero, since the mass is momentarily at rest at the turning point.

SPHY001 Practice Quiz - Unit 16 | LA056

A mass in the diagram below undergoes simple harmonic When the mass reaches point x = +A its instantaneous velocity is:

查看解析

登录即可查看完整答案

类似问题

To double the period of a simple harmonic oscillator, by what factor should the amplitude change?

In the above system the spring constant is k = 25 N/m and the mass on the spring is 100 grams. What are the angular velocity and the harmonic frequency if we triple the mass? Round your answer to one (1) decimal place. Do not enter units. Example: 33.4

A mass in the diagram below undergoes simple harmonic When the mass reaches point x = 0 its instantaneous acceleration is:

A mass attached to a very light spring executes simple harmonic motion. If you want to double its total energy, you should

If the total energy of a harmonic oscillator is reduced to 1/3 of its original value, what is the change in the amplitude of the oscillations?

A mass in the diagram below undergoes simple harmonic When the mass reaches point x = 0 its instantaneous acceleration is:

A mass in the diagram below undergoes simple harmonic When the mass reaches point x = +A its instantaneous acceleration is:

A mass in the diagram below undergoes simple harmonic When the mass reaches point x = 0 its instantaneous velocity is:

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单