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3241004551 [841]
3 years ago
9

The 100-lb platform rolls without slipping along the 10 degree incline on two pairs of 16-in.diameter wheels. Each pair of wheel

s with attached axle weighs 25 lb and has a centroid radius of gyration of 5.5 in. The platform has an initial speed of 3 ft/ sec down the incline when a tension T is applied through a cables attached to the platform. If the platform acquires a speed of 3ft/sec up the incline after the tension has been applied for 8 seconds, what is the average value of the tension in the cable?

Engineering
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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Answer:

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Explanation:

For equilibrium of the gas and the piston the pressure exerted by the gas on the piston should be equal to the sum of  weight of the piston and the force the spring exerts on the piston

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we know that

Force_{pressure}=Pressure\times Area=300\times 10^{3}\times \frac{\pi \times 0.1^2}{4}=750\pi Newtons

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Now the force exerted by an spring compressed by a distance 'x' is given by Force_{spring}=k\cdot x=5\times 10^{3}\times x

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5\times 10^{3}\times x+981=750\pi \\\\\therefore x=\frac{750\pi -981}{5\times 10^{3}}=0.275meters

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3 years ago
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