As shown in the figure, a 2 kg collar C is on an inclined rod at a distanceof L as 0.4 m from the rotation axis. The coefficient of static frictionbetween the collar and the rod is μs = 0.5 and the angular velocity of therod is ω. Determine the minimum and maximum angular velocities ofthe inclined rod so that the collar does not slip. Neglect the size of thecollar.

For the position shown where ߠ = 30°, point A on the sliding collar has a constant velocity ݒ = 0.3 ݉/ݏ with corresponding lengthening of the hydraulic cylinder AC. For this same position BD is horizontal and DE is vertical. Determine the angular acceleration of DE at this instant.

A 3.05-kg object is attached to a vertical rod by two strings as shown in the figure below. The object rotates in a horizontal circle at constant speed 6.90 m/s.An object of mass m attached to a vertical rod by two strings each of length 2.00 m is shown. One of the strings is attached to the top of the rod and the other string is attached to the bottom. The distance between where the strings are attached is labeled 3.00 m. The object is rotating away from the rod along a horizontal circular path around the center of the rod.(a) Find the tension in the upper string. N(b) Find the tension in the lower string. Your response differs from the correct answer by more than 10%. Double check your calculations. N

A merry-go-round of radius R rotates at constant speed with period T. What minimum Co-effi-cient of static friction between merry-go-round and a box mass, m, placed at its edge the willenable the box to remain on the surface without sliding?

A 1.74 kg toy race car is slowing down while travelling around a circular horizontal track. If the track has a diameter of 0.690 m and the coefficient of rolling friction between the track and the race car is 0.180, what is the magnitude of angular acceleration?

The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.600 kg and its length is 2.00 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.(a) Determine the speed of its center of gravity at its lowest position. Consider the conservation of energy of the center of mass of the rod. What is the relationship between angular and tangential velocities? m/s