Expert(专家)say that students usually need eight to ten hours' sleep at night, but most Chinese students do not get enough sleep. Some Chinese parents are usually glad to see their children studying late. They will think their children work very hard, but not all parents are happy about this. Once a mother told us that every morning her 10-year-old boy put up one finger(手指)with his eyes still closed, begging(请求)for one more minute to sleep. Like thousands of students "early birds" in China, he has to get up before six every morning.

    A report shows that without a good night's sleep, students seem to be weaker(虚弱)than they should be. Many students have fallen asleep(睡觉) during class at one time or another. Too much homework is not the only reason why students stay up late. Some watch TV or play the computer games late into the night.

    Experts have ever said that the students should develop good study habits. So some clever students never study late, they are able to work well in class.

在平面直角坐标系中，△ABC的三个顶点坐标分别为A（2，-4），B（3，-2），C（6，-3）．

某同学的解题思路如下：

可以先算出钢块静止在ABC上恰好使支架转动的位置，如图（b）所示．根据支架受力情况写出此时力矩平衡的式子：M_N=M_f+M_G，可根据该式子求出该位置到C点的距离s₁；

（M_N、M_f、M_G分别是钢块对斜面的压力的力矩、摩擦力的力矩以及T型支架自身重力的力矩，其中N=m₂gcos37°，f=m₂gsin37°．）

然后算出钢块以4m/s的速度在斜面上最多能滑行的距离s₂；

比较这两个距离：若s₁≥s₂，则T型支架不会绕D点转动；若s₁＜s₂，则会转动．

请判断该同学的解题思路是否正确，若正确，请按照该思路，写出详细的解题过程，求出结果；若不正确，请给出你认为的正确解法．

图中a、b是同一人的两幅照片，b图中他拿的眼镜