摘要
本文描述了利用机械共振法测量引力常数G的实验方法。在实验中,通过适当调节实验条件而使扭称达到共振状态,令极其微弱的引力效应积累加强,从而达到精密测量G的目的。
In this experiment, a small ball m, the attracted one, is located at the rotation center of an attracting ball M, which rotates around m with a constant angular velocity. The forced motion equation of the system can be written as follows:where γ is the damping factor, w0 is the natural frequency of the torsion balance and τ is the torque acting on the torsion balance. When resonance occurs (w2 = w02-2γ2), the amplitude of the torsion balance reaches its maximum Am:As the torque τ is proportional to gravitational constant G, the motion parameters of the torsion balance (Am,w0 and γ) can be accurately measured and then the exact value of G can bs determined.After processing of the experimental data and deducting the system error from the primary data, the following result is obtained:It is shown that for higher accuracy there exist two main problems: one is the limit of the measuring accuracy of ths light arm and another is the power and angle drifts of the laser.
出处
《华中理工大学学报》
CSCD
北大核心
1989年第3期155-158,共4页
Journal of Huazhong University of Science and Technology
基金
国家自然科学基金资助项目
关键词
机械共振
引力常数
扭称
Mechanical resonance
Torsion balance
Gravitational constant
