Part A Derive a formula for the bullet speed v in terms of D, T, and a measured angle between the position of the hole in the first disk and that of the hole in the second. If required, use , not its numeric equivalent. Both of the holes lie at the same radial distance from the shaft. measures the angular displacement between the two holes; for instance, 0 = 0 means that the holes are in a line and = π means that when one hole is up, the other is down. Assume that the bullet must travel through the set of disks within a single revolution. View Available Hint(s) Hint 1. Consider hole positions The relative position of the holes can be used to find the bullet's speed. Remember, the shaft will have rotated while the bullet travels between the disks. Hint 2. How long does it take for the disks to rotate by an angle 0? The disks rotate by 2 π in time T. How long will it take them to rotate by 0? Give your answer in terms of T, 0, and constants such as T.

Part C - Moment due to two forces As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B. (Figure 3) The forces are given by F₁ = 90 Ni-120 Nj+65 Nk and F2 has magnitude 165 N and direction angles = = 158.0°, B=77.0°, and y = 72.6°. The dimensions are x₁ = 4.00 m, y₁ = 5.90 m, and z₁ = 2.90 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Mo =[ Submit 15. ΑΣΦ | 11 vec p ? i, j, k] N.m

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A flywheel with a radius of 0.320 m starts from rest and accelerates with a constant angular acceleration of 0.710 rad/s². Part A Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. Enter your answers separated with commas. atan, arad, atotal = Submit Part B ΠΑΣΦ Request Answer atan, arad, atotal = Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0 °. Enter your answers separated with commas. ΑΣΦ m/s² ? m/s²