2 kg The centers of two spheres A and B with masses mA 1 kg and mg are a distance ro 1m apart. B is fixed in space, and A is initially at rest. Using Eq. (1.5) on p. 3, which is Newton's universal law of gravitation, determine the speed with which A impacts B if the radii of the two spheres are A = 0.05 m and FB = 0.15 m. Assume that the two masses are infinitely far from any other mass so that they are only influenced by their mutual attraction. Το

The 6-kg sphere and 4-kg block (shown in section) Fig.P3 are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 2-kg plug is released with initial velocity vo at A and falls into the recess in the block when the 2 kg arm has reached the horizontal position. An instant before engagement, the arm has an angular velocity 0o = 2 rad/s. CCW.What must be the initial velocity vo so that the angular velocity of the arm immediately after the plug has wedged itself in the block o =0.5rad/s. CW. 600 mm -300 mm- 6 kg 4 kg -500 mm Fig.P3

2. (25) The small 2-kg block A slides down the curved path and passes the lowest point B with a speed of 4 m/s. If the radius of curvature of the path at B is 1.5 m, and the coefficient of friction between the block and path is 0.3, determine (a) the normal force exerted on the block by the path at B, and (b) the rate of change of speed at this point. B

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