problem13_96

University Physics with Modern Physics with Mastering Physics (11th Edition)

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13.96: In each situation, imagine the mass moves a distance , x the springs move distances 1 x and , 2 x with forces . , 2 2 2 1 1 1 x k F x k F - = - = a) ( 29 . so , , 2 1 eff 2 1 2 1 2 1 k k k x k k F F F x x x + = + - = + = = = b) Despite the orientation of the springs, and the fact that one will be compressed when the other is extended, , 2 1 x x x + = and the above result is still valid; . 2 1 eff k k k + = c) For massless springs, the force on the block must be equal to the tension in any point
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Unformatted text preview: of the spring combination, and , 2 1 F F F = = and so , , 2 2 1 1 k F x k F x-= ∆-= ∆ and -= +-= ∆ F k k x 1 1 2 1 F k k k k 2 1 2 1 + and . 2 1 2 1 eff κ κ κ κ κ + = d) The result of part (c) shows that when a spring is cut in half, the effective spring constant doubles, and so the frequency increases by a factor of . 2...
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  • Force, 1 K, forces F1, massless springs, spring constant doubles

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