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Unformatted text preview: Question 1 (12 pts) A flywheel begins from rest and rotates with constant angular accel- eration about a horizontal axis, as shown in the figure. Point P is a point on the rim of the flywheel. r axis of rotation s P 6 (a) (4 pts) The direction of the angular velocity ~ of the flywheel is (i) into the page, (ii) out of the page, fl (iii) upward, (iv) downward, 6 ? (b) (4 pts) During the rotation, the magnitude of the tangential acceleration ~a t of point P (i) increases. (ii) decreases. (iii) remains the same. (iv) changes depending on the direction of rotation. (c) (4 pts) During the rotation, the magnitude of the radial acceleration ~a t of point P (i) increases. (ii) decreases. (iii) remains the same. (iv) changes depending on the direction of rotation. 2 Problem 1 (22 pts) In the figure below, block 1 of mass m slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m 2 = m . Just after the collision, block 1 is moving forward with a speed of v 1 , after . After the collision, block 2 slides into a region where the coefficient of kinetic friction is k and comes to a stop in a distance d within that region. It is not known if the collision is elastic. (a) (4 pts) Find the speed of block 1 just before the collision, v 1 , bef . Express the answer in terms of m,g,h, k ,d, and numerical constants, as needed ....
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- Spring '07