广工计科-大物-小测&大考-例题

最新推荐文章于 2025-05-29 19:55:52 发布

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最新推荐文章于 2025-05-29 19:55:52 发布

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若 $I_{1}=I_{2}=I_{0}$ ，则 $I\max =4I_{0}\; ,I\min =0$

In a resting device, a spring stretches 0.150m when a 0.300kg mass is hung from it. The spring is then stretched an additional 0.100m from this equilibrium point and release. Determine: a) the values of the spring constant k and angular frequency. b) the amplitude of the oscillation A. c) the maximum velocity. d) the magnitude of the maximum acceleration of the mass. e) the period T and frequency f. f) the displacement x as the function of time.

在静止装置中，当悬挂一个0.300kg的物体时，弹簧伸展0.150m。然后，弹簧从这个平衡点再拉伸0.1米，然后松开。确定:a)弹簧常数k和角频率的值；b)振幅；c)最大速度；d)质量的最大加速度的大小；e)周期T和频率f；f)位移x作为时间的函数。

A body (m=10g) is in SHM along x axis, A=20cm, T=4s. When t = 0, $x_{0}$ = -10cm, and v < 0 (moves along negative x direction). Find: (1) x(t=1s)=?; (2) At what time will the body pass the position of x=10cm first time (何时物体第一次通过）(3) How long does the body need to pass x=10cm second time(再经多少时间物体第二次运动到x=10cm处）?

质量为 $0.10kg$ 的物体，以振幅 $1.0\times 10^{-2}m$ 作简谐运动，其最大加速度为 $4.0m\cdot s^{-2}$ ，求：1）振动的周期；2）通过平衡位置的动能；3）总能量；4）物体在何处其动能和势能相等？

例2 一平面简谐波沿 $O \, x$ 轴正方向传播，已知振幅 $A=1.0m$ ， $T=2.0s$ ， $\lambda =2.0m$ . 在 $t=0$ 时坐标原点处的质点位于平衡位置沿 $O\, y$ 轴正方向运动 . 求1)波动方程；2) 求 $t=1.0s$ 波形图；3) $x=0.5m$ 处质点的振动规律并作图。

A transverse traveling wave on a cord is represented by D=0.48sin(5.6s+84t). Where D and x in meters and t in seconds. For this wave determine: a)The wavelength；b)Frequency；c)Velocity (magnitude and direction)；d) Amplitude；e)Maximum and minimum speeds of particles of the cord.