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

Question

BlackTom AI · Accepted Answer

In simple harmonic motion, the acceleration a is proportional to the displacement x and directed toward the equilibrium position, given by a = -ω^2 x.
Option 1: Zero. Since x = 0 at the equilibrium position, the displacement is zero, and thus a = -ω^2(0) = 0. So the instantaneous acceleration at x = 0 vanishes, regardless of the velocity.
Option 2: Less than maximum. The magnitude of acceleration is maximum at the maximum displacements ±A, where |x| = A, and zero at x = 0. Therefore saying it is less than maximum at x = 0 is incorrect because it is exactly zero, not some nonzero value.
Option 3: Constant and doesn’t depend on the location. This would imply a is the same for all x, which contradicts a = -ω^2 x, where acceleration depends linearly on the displacement. Hence this statement is false.
Option 4: Maximum and can be positive or negative. The maximum magnitude occurs at the turning points x = ±A, not at x = 0. Also the sign of acceleration is determined by the direction toward the origin; at x = 0 the acceleration is zero, not maximum or having a definite sign.

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

类似问题

A 0.50 kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

A 0.30 kg mass is suspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

A 4.0 kg object is attached to a spring of spring constant 10 N/m. The object is displaced by 5.0 cm from the equilibrium position and let go. What is the period of vibration?

A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity

Two masses, A and B, are attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximum?

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

更多留学生实用工具

智能学习助手

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