A flatbed truck is driving and carrying a large box with mass M = 230 kg, height h = 1.30 m, and width w = 0.850 m. The box is connected to the bed of the truck with a cable that makes an angle of 0 = 50° with the horizontal as shown and is attached to the box at a ¾ h. The bed of the truck has friction. The mass of the box is distributed in such a way that the top of the box is twice as dense as the bottom, and the side closest to the cab is three times denser than the rear side. The box does not tip or slide. (a) The truck hits its brakes and decelerates at a constant rate of a = 8.10 m/s². What is the tension in the cable, the friction coefficient of the truck bed, and the normal force the bed exerts on the box? Assume that the external force from the decelerating truck acts at the center of mass just as gravitational force does. (b) If the max tension the cable can withstand is 600 N, and the truck is driving at a constant speed of 22.4 m/s, then how much breaking distance does the truck need in order for the cable to not break? Assume the cable's extension is negligible prior to breaking.
A flatbed truck is driving and carrying a large box with mass M = 230 kg, height h = 1.30 m, and width w = 0.850 m. The box is connected to the bed of the truck with a cable that makes an angle of 0 = 50° with the horizontal as shown and is attached to the box at a ¾ h. The bed of the truck has friction. The mass of the box is distributed in such a way that the top of the box is twice as dense as the bottom, and the side closest to the cab is three times denser than the rear side. The box does not tip or slide. (a) The truck hits its brakes and decelerates at a constant rate of a = 8.10 m/s². What is the tension in the cable, the friction coefficient of the truck bed, and the normal force the bed exerts on the box? Assume that the external force from the decelerating truck acts at the center of mass just as gravitational force does. (b) If the max tension the cable can withstand is 600 N, and the truck is driving at a constant speed of 22.4 m/s, then how much breaking distance does the truck need in order for the cable to not break? Assume the cable's extension is negligible prior to breaking.
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I need help part B please
Transcribed Image Text:A flatbed truck is driving and carrying a large box with mass M = 230 kg, height h= 1.30 m,
and width w = 0.850 m. The box is connected to the bed of the truck with a cable that
makes an angle of 0 = 50° with the horizontal as shown and is attached to the box at a 4 h.
The bed of the truck has friction. The mass of the box is distributed in such a way that the
top of the box is twice as dense as the bottom, and the side closest to the cab is three times
denser than the rear side. The box does not tip or slide.
(a) The truck hits its brakes and decelerates at a constant rate of a = 8.10 m/s?.
What is the tension in the cable, the friction coefficient of the truck bed, and the
normal force the bed exerts on the box? Assume that the external force from the
decelerating truck acts at the center of mass just as gravitational force does.
(b) If the max tension the cable can withstand is 600 N, and the truck is driving at a
constant speed of 22.4 m/s, then how much breaking distance does the truck need
in order for the cable to not break? Assume the cable's extension is negligible prior
to breaking.
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M
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