Explanation Given information: The initial velocity of a hockey puck: v o = 105 m i / h Figure P11.113 Calculations: Given v o = 105 m i / h or, v o = 105 m i / h = 105 × 88 60 f t / s v o = 154 f t / s Horizontal and vertical components of velocity at point A: ( v o ) x = 154 cos α a n d , ( v o ) y = 154 sin α considering the horizontal motion: x = x o + ( v o ) x t At point B (front of the net), x = 16 f t ∴ 16 = ( 154 cos α ) t o r , t = 8 77 cos α ........ ( 1 ) Now, considering the vertical motion: y = y o + ( v o ) y t − 1 2 g t 2 At point B (front of the net), let y = y f r o n t ∴ y f r o n t = 0 + ( 154 sin α ) t − 1 2 g t 2 s u b s t i t u t i n g v a l u e o f t f r o m e q To determine (b) The corresponding time required for the puck to reach the net.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 11.4, Problem 11.113P

To determine

(a)

Largest angle for which puck will enter the net.

To determine

(b)

The corresponding time required for the puck to reach the net.

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Chapter 11.4, Problem 11.112P

Chapter 11.4, Problem 11.114P

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(a) Largest angle for which puck will enter the net.

Solution Summary: The author calculates the initial velocity of a hockey puck, based on the horizontal and vertical components of velocity at point A.