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itive x-axis. The third glass has e center of the tray at an angle of mass M4 = 875 g is to be pla ne center of the tray.

itive x-axis. The third glass has e center of the tray at an angle of mass M4 = 875 g is to be pla ne center of the tray.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 1: Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M = 575 g and is located R = 17 cm from the center of the tray at an angle 01 = 45 degrees above the positive x-axis. The second glass has a mass of M2 = 325 g and is located R2 = 22 cm from the center of the tray at an angle 02 = 45 degrees below the positive x-axis. The third glass has a mass of M3 = 225 g and is located R3 = 17 cm from the center of the tray at an angle 03 = 45 degrees above the negative x-axis. A fourth glass of mass M4 = 875 g is to be placed on the tray so that the center of mass is located at the center of the tray. (m3 R R, R m, Otheexpertta.com Part (a) Write a symbolic equation for the horizontal position from the central x-axis that the fourth glass must be placed so that the horizontal center of mass of the four glasses is at the center of the tray. Expression : X4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(Ф), cos(0), cos(@1, cos(@1), cos(®), cоs(@ 3), sin(a), sin(Ф), sin(®), sin(®), sin(®2), sin(®з), Mj, M2, Мҙ, М4, R1, Rz, Rg Part (b) Calculate the numeric value of the horizontal position from the central x-axis of the fourth glass in cm. Numeric : A numeric value is expected and not an expression. X4 =. Part (c) Write a symbolic equation for the vertical position from the central y-axis that the fourth glass must be placed so that the vertical center of mass of the four glasses is at the center of the tray. Expression : Y4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(6), cos(01), cos(02), cos(03), sin(8), sin(01), sin(0,), sin(03), M1, M2, M3, M4, R1, R2, R3 Part (d) Calculate the numeric value of the vertical position from the central y-axis of the fourth glass in cm. Numeric : A numeric value is expected and not an expression. Y4 = Part (e) Calculate the distance that the fourth glass is away from the center of the tray in cm. Numeric : A numeric value is expected and not an expression. R4 = Part (f) Calculate the angular position of the fourth glass relative to negative x-axis in degrees. Numeric : A numeric value is expected and not an expression. 04 =
Transcribed Image Text:Problem 1: Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M = 575 g and is located R = 17 cm from the center of the tray at an angle 01 = 45 degrees above the positive x-axis. The second glass has a mass of M2 = 325 g and is located R2 = 22 cm from the center of the tray at an angle 02 = 45 degrees below the positive x-axis. The third glass has a mass of M3 = 225 g and is located R3 = 17 cm from the center of the tray at an angle 03 = 45 degrees above the negative x-axis. A fourth glass of mass M4 = 875 g is to be placed on the tray so that the center of mass is located at the center of the tray. (m3 R R, R m, Otheexpertta.com Part (a) Write a symbolic equation for the horizontal position from the central x-axis that the fourth glass must be placed so that the horizontal center of mass of the four glasses is at the center of the tray. Expression : X4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(Ф), cos(0), cos(@1, cos(@1), cos(®), cоs(@ 3), sin(a), sin(Ф), sin(®), sin(®), sin(®2), sin(®з), Mj, M2, Мҙ, М4, R1, Rz, Rg Part (b) Calculate the numeric value of the horizontal position from the central x-axis of the fourth glass in cm. Numeric : A numeric value is expected and not an expression. X4 =. Part (c) Write a symbolic equation for the vertical position from the central y-axis that the fourth glass must be placed so that the vertical center of mass of the four glasses is at the center of the tray. Expression : Y4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(6), cos(01), cos(02), cos(03), sin(8), sin(01), sin(0,), sin(03), M1, M2, M3, M4, R1, R2, R3 Part (d) Calculate the numeric value of the vertical position from the central y-axis of the fourth glass in cm. Numeric : A numeric value is expected and not an expression. Y4 = Part (e) Calculate the distance that the fourth glass is away from the center of the tray in cm. Numeric : A numeric value is expected and not an expression. R4 = Part (f) Calculate the angular position of the fourth glass relative to negative x-axis in degrees. Numeric : A numeric value is expected and not an expression. 04 =
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