Calculate the magnitudes of the accelerations

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Reference no: EM13805082

1. The figure shows two possible paths for negotiating an unbanked turn on a horizontal portion of a race course. Path A-A follows the centerline of the road and has a radius of curvature Ρ_A = 85 m, while path B-B uses the width of the road to good advantage in increasing the radius of curvature to Ρ_B= 200 m. If the drivers limit their speeds in their curves so that the lateral acceleration does not exceed 0.8g, determine the maximum speed for each path.

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2. In the design of a timing mechanism, the motion of the pin A in the fixed circular slot is controlled by the guide B, which is being elevated by its lead screw with a constant upward velocity v_o = 2 m/s for an interval of its motion. Calculate both the normal and tangential components of acceleration of pin A as it passes the position for which θ = 30°.

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3. The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine is revved up, the belt speed v changes uniformly from 3 m/s to 6 m/s over a two-second interval. Calculate the magnitudes of the accelerations of points P₁ and P₂ halfway through this time interval.

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4. The ladder of a fire truck is designed to be extended at the constant rate i = 6 in./sec and to be elevated at the constant rate θ = 2 deg/sec. As the position θ = 50° and l= 15 ft is reached, determine the mag-nitudes of the velocity v and the acceleration a of the fireman at A.

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Reference no: EM13805082

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