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Force-feedback interaction with a bowed string model can suffer critically from noise in the velocity signal derived from differentiating position measurements. To address this problem, we present a model for bowed string interaction based on a position-constraint friction. We validate the proposed model by comparing to previous work using off-line simulations, and show measurements of interaction on haptic hardware. This noise-free excitation signal leads to cleaner string motion than previous models, thereby improving the quality of force and audio synthesis in the presence of noise.