GATE ME 2018 Set 2 — Question 35
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Engineering Mechanics → Dynamics → Work-Energy Formulation
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Question
A ball is dropped from rest from a height of 1 m in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in m) by the ball is __________ (correct to two decimal places).
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Solution
The ball is dropped from a height of m. In a frictionless tube, energy is conserved, and the ball will rise to the same height on the other side.
1.Vertical section: The distance travelled is simply the height, m.
2.Inclined section: The ball rises to a height m. The angle of inclination is . The distance travelled along the incline is m.
3.Total distance: The total distance travelled from the starting point to the point where it first stops on the incline is m.
Rounding to two decimal places, we get 2.41.Continue learning with Success Tracker
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