The spring-mounted 0.8 kg collar A oscillates along the horizontal rod, which is rotating at the constant rate q = 6 rad/sec. The spring constant k equals 5 N /m and the coefficient of kinetic friction mk equals 0.4. At a certain instant, r = 0.2 m, which is increasing at the rate of 800 mm/s, while r = 0.3 m / s2. For this instant, calculate the friction force from the rod onto the collar and the elastic force on the collar. Indicate whether or not the elastic force points towards the origin O and then calculate the spring stretch. (Hint: the total normal force between the rod and the collar results from both the weight of the collar and the transverse normal force that is perpendicular to the rod on the plane of rotation of the rod.)
The spring-mounted 0.8 kg collar A oscillates along the horizontal rod, which is rotating at the constant rate q = 6 rad/sec. The spring constant k equals 5 N /m and the coefficient of kinetic friction mk equals 0.4. At a certain instant, r = 0.2 m, which is increasing at the rate of 800 mm/s, while r = 0.3 m / s2. For this instant, calculate the friction force from the rod onto the collar and the elastic force on the collar. Indicate whether or not the elastic force points towards the origin O and then calculate the spring stretch.
(Hint: the total normal force between the rod and the collar results from both the weight of the collar and the transverse normal force that is perpendicular to the rod on the plane of rotation of the rod.)
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