Explanation Given Information: The x locations of her hip can be described by x ( t ) = 20 t + 0.2 sin ( 4 π 3 t ) . The y locations of her hip can be described by y ( t ) = 3.5 + 0.1 e − 0.3 t . Calculation: Write x and y coordinates to represent the position of the particle. x ( t ) = 20 t + 0.2 sin ( 4 π 3 t ) (1) y ( t ) = 3.5 + 0.1 e − 0.3 t sin ( 4 π 3 t ) (2) Calculate the x component value for 0 sec: Substitute 0 sec for t in Equation (1). x ( 0 ) = 20 ( 0 ) + 0.2 sin ( 4 π 3 ( 0 ) ) = 0 + 0 = 0 Calculate the y component value for 0 sec: Substitute 0 sec for t in Equation (2). y ( 0 ) = 3.5 + 0.1 e − 0.3 ( 0 ) = 3.6 ft Similarly calculate and tabulate the x and y coordinate value for time interval 0 ≤ t ≤ 3 sec in the below Table 1. Tabulate the x and y coordinate value for time interval 0 ≤ t ≤ 3 sec as in Table (1). t (s) x (ft) y (ft) 0 0 3.5 1 19.827 3.44 2 40.173 3.55 3 60 3.5 Plot the x-y value from table 1 for path of the hip as in Figure (1). Write the definition for velocity for Equations (1). v x = d x d t Substitute 20 t + 0.2 sin ( 4 π 3 t ) for x . v x = d ( 20 t + 0.2 sin ( 4 π 3 t ) ) d t Differentiate the above equation. v x = d ( 20 t + 0.2 sin ( 4 π 3 t ) ) d t = 20 + 4 15 cos ( 4 π 3 t ) (3) Write the definition for velocity for Equations (2). v y = d y d t Substitute 3

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

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

Publisher: McGraw-Hill Education

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Chapter 11.4, Problem 11.93P

To determine

Plot the path of the hip for the time interval 0≤t≤3sec.

The hip’s vertical position (y2) and the components of hip velocity (vx) and (vy) at time (t) 2 sec.

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Chapter 11.4, Problem 11.92P

Chapter 11.4, Problem 11.94P

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Chapter 11 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

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Plot the path of the hip for the time interval 0 ≤ t ≤ 3 sec . The hip’s vertical position ( y 2 ) and the components of hip velocity ( v x ) and ( v y ) at time ( t ) 2 sec.

Solution Summary: The author calculates the x and y coordinates to represent the position of the particle.

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Plot the path of the hip for the time interval 0≤t≤3sec.

The hip’s vertical position (y2) and the components of hip velocity (vx) and (vy) at time (t) 2 sec.

Want to see the full answer?

Chapter 11 Solutions

Plot the path of the hip for the time interval 0 ≤ t ≤ 3 sec . The hip’s vertical position ( y 2 ) and the components of hip velocity ( v x ) and ( v y ) at time ( t ) 2 sec.

Solution Summary: The author calculates the x and y coordinates to represent the position of the particle.

Videos

Plot the path of the hip for the time interval 0≤t≤3sec. The hip’s vertical position (y2) and the components of hip velocity (vx) and (vy) at time (t) 2 sec.

Want to see the full answer?

Chapter 11 Solutions

Plot the path of the hip for the time interval 0≤t≤3sec.

The hip’s vertical position (y2) and the components of hip velocity (vx) and (vy) at time (t) 2 sec.