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在习题教学中,常遇到求解某物理量的取值范围或极值等问题,而此类问题往往要建立不等式方可求解,本文结合实例分析在解题时应如何建立不等式。1 由物理条件建立不等式[例1]如图1所示,一水平转动的圆盘上固定一个斜面,斜面的倾角为θ,其上放置一个质量为m的物体,它离转轴的垂直距离为R,且与斜面间的摩擦因数为μ_0。若要使物体与斜面之间保持相对静止,则圆盘的转动角速度应在什么范围?
In the problem-solving teaching, it often encounters the problem of solving the range or extreme value of a certain physical quantity, and such problems often need to establish inequalities before being solved. This article combines examples to analyze how to establish inequalities when solving problems. 1 Inequality established by physical conditions [Example 1] As shown in Fig. 1, a tilted surface is fixed on a horizontally rotating disk. The inclination of the slope is θ, and an object of mass m is placed thereon, and the vertical distance from the axis is R, and the friction coefficient with the slope is μ_0. To keep the object and the inclined surface relatively stationary, what is the range of rotation angle of the disk?