Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M1 = 625 g and is located R1 = 13 cm from the center of the tray at an angle θ1 = 35 degrees above the positive x-axis. The second glass has a mass of M2 = 325 g and is located R2 = 24 cm from the center of the tray at an angle θ2 = 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 θ3 = 45 degrees above the negative x-axis. A fourth glass of mass M4 = 825 g is to be placed on the tray so that the center of mass is located at the center of the tray. 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. Part (d) Calculate the numeric value of the vertical position from the central y-axis of the fourth glass in cm. Part (e) Calculate the distance that the fourth glass is away from the center of the tray in cm. Part (f) Calculate the angular position of the fourth glass relative to negative x-axis in degrees.
Three glasses are placed by a waiter on a light-weight tray. The first glass has a mass of M1 = 625 g and is located R1 = 13 cm from the center of the tray at an angle θ1 = 35 degrees above the positive x-axis. The second glass has a mass of M2 = 325 g and is located R2 = 24 cm from the center of the tray at an angle θ2 = 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 θ3 = 45 degrees above the negative x-axis. A fourth glass of mass M4 = 825 g is to be placed on the tray so that the center of mass is located at the center of the tray.
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.
Part (d) Calculate the numeric value of the vertical position from the central y-axis of the fourth glass in cm.
Part (e) Calculate the distance that the fourth glass is away from the center of the tray in cm.
Part (f) Calculate the angular position of the fourth glass relative to negative x-axis in degrees.
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