A hedge trimmer has a blade that moves back and forth with a frequency of 28 Hz.

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A hedge trimmer has a blade that moves back and forth with a frequency of 28 Hz. The blade motion is converted from the rotation of an electric motor to oscillatory motion by means of a Scotch yoke (see Conceptual Question 7). The blade moves 2.4 cm from one extreme to the other. Assuming that the blade moves with SHM, what are its maximum speed and maximum acceleration?

In Conceptual Question 7

In a reciprocating saw, a Scotch yoke converts the rotation of the motor into the back-and-forth motion of the blade. The Scotch yoke is a mechanical device used to convert oscillatory motion to circular motion or vice versa. A wheel with a fixed knob rotates at constant angular velocity; the knob is constrained within a vertical slot causing the saw blade to move left and right without moving up and down. Is the motion of the saw blade SHM? Explain.

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