Modern MEMs gyros/accelerometers allow the angular velocity of pendula to be precisely measured and the angular acceleration to be calculated. For a compoun pendulum, I_pθ = - mga sin θ, where a is the distance of the center of mass from the pivot, so the moment of inertia I_p of the compound pendulum about the pivot can be simply derived as I_p = -mga/θ_((θ=π/2)) from measurements of the angular acceleration θ_((θ=π-/2)) when the pendulum is horizontal. Then mga can be determined by measuring the force and lever arm required to maintain the pendulum in a horizontal position.
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机译:现代MEMS陀螺仪/加速度计可以精确测量摆锤的角速度并计算角加速度。对于组合摆,I_p θ = - mga sin θ,其中 a 是质心到枢轴的距离,因此复合摆围绕枢轴的转动惯量I_p可以简单地推导出为 I_p = -mga/θ_((θ=π/2)) 来自钟摆水平时角加速度 θ_((θ=π-/2)) 的测量值。然后可以通过测量将钟摆保持在水平位置所需的力和杠杆臂来确定 mga。
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