In the vertical right triangle shown in Fig. 3.14, a particle falls from A to B either along the hypotenuse, or along the two legs (lengths a and b) via point C. There is no friction anywhere. A C b a (side view) Figure 3. B a) Estimate the time (call it t) if the particle travels along the hypotenuse? b) Evaluate the time (call it t₁) if the particle travels along the legs? Assume that at point C there is an infinitesimal curved arc that allows the direction of the particle's motion to change from vertical to horizontal without any change in speed. c) Justify that th=t₁ when a = 0. d) Assess how do the value of th and t₁ compare in the limit b << a?

In the vertical right triangle shown in Fig. 3.14, a particle falls from A to B either along the hypotenuse, or along the two legs (lengths a and b) via point C. There is no friction anywhere. A C b a (side view) Figure 3. B a) Estimate the time (call it t) if the particle travels along the hypotenuse? b) Evaluate the time (call it t₁) if the particle travels along the legs? Assume that at point C there is an infinitesimal curved arc that allows the direction of the particle's motion to change from vertical to horizontal without any change in speed. c) Justify that th=t₁ when a = 0. d) Assess how do the value of th and t₁ compare in the limit b << a?

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Description: In the vertical right triangle shown in Fig. 3.14, a particle falls from A to B either along thehypotenuse, or along the two legs (lengths a and b) via point C. There is no frictionanywhere.Aba(side view)Figure 3.Ba) Estimate the time (call it t) if

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 35P: A dart is thrown horizontally at a speed of 10 m/s at the bull’s-eye of a dartboard 2.4 m away, as...

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