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12 The free end of the open-link chain of total length \( L \) and mass \( \rho \) per unit length is released from rest at \( x=0 \). Determine the force \( R \) on the fixed end and the tension \( T_{1} \) in the chain at the lower end of the nonmoving part in terms of \( x \). Also find the total loss \( Q \) of energy when \( x=L \). \[ \text { Ans. } R=\frac{1}{2} \rho g(L+3 x), T_{1}=\rho g x, Q=\frac{1}{4} \rho g L^{2} \]

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VG: How do variable speed drives contribute to energy savings in industrial applications?

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QUESTION 3 Alvin Pvt has decided to manufacture 20mm grinding balls and supply the local mineral processing companies. The manufacturing plant has a capacity of 250 000 balls per year with a fixed cost of R2 400 000 per month. The variable cost and selling price of each grinding ball are R53 and R80 respectfully. (a) Calculate the balls to be manufactured for the company to reach breakeven point, and what percentage of the total capacity would it be? (6) (b) Calculate the effect of 10% reduction of fixed costs and 10% reduction of variable costs and an increase in selling price by 10% on the breakeven point? (14)

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The spinal cord is divided into four regions: Cervical, thoracic, lumbar and Sacral. These regions are named for the

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In clustering the problem is to group an unlabeled collection of objects (e.g., documents, customer comments, Web pages) into meaningful clusters without any prior knowledge. True False

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Can the same logic be extended to -6x^0? (Assume that x is not equal to 0.)

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Please help with homework problem. Show all work and calculatons. Thank you. A radiometer is employed to monitor the temperature of manufactured parts (A_(1)=10cm^(2)) on a conveyor. The radiometer is placed at a distance of 1.15m from and normal to the manufactured parts. When a part moves to the position normal to the radiometer, the sensor measures the radiation emitted from the part. In order to prevent thermal burn on people handling the manufactured parts at the end of the conveyor, the temperature of the parts should be below 45deg C. An array of spray heads is programmed to discharge mist to cool the parts when the radiometer detects a temperature of 45deg C or higher on a part. If the manufactured parts can be approximated as blackbody, determine the irradiation on the radiometer that should trigger the spray heads to release cooling mist when the temperature is not below 45deg C. Take the Stefan-Boltzmann constant as sigma =5.67 imes 10^(-8)(W)/(m^(2))*K^(4). The irradiation on the radiometer is 4.946ox(W)/(m^(2)). A radiometer is employed to monitor the temperature of manufactured parts(A=10 cmon a conveyor.The radiometer is placed at a distance of 1.15 m from and normal to the manufactured parts.When a part moves to the position normal to the radiometer,the sensor measures the radiation emitted from the part.In order to prevent thermal burn on people handling the manufactured parts at the end of the conveyor, the temperature of the parts should be below 45C. An array of spray heads is programmed to discharge mist to cool the parts when the radiometer detects a temperature of 45'C or higher on a part.If the manufactured parts can be approximated as blackbody, determine the irradiation on the radiometer that should trigger the spray heads to release cooling mist when the temperature is not below 45C. Take the Stefan-Boltzmann constant as 0 = 5.67 x 10-8 w/m2.k4 Radiometer Spray heads Manufactured part Conveyor The irradiation on the radiometer is [4.946]@ W/m2

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Using the Kolmogorov-Smirnov test and the Breusch-Pagan test, examine the normality and the heteroskedasticity of the residuals from the model identified as best through the exhaustive search method. Also examine the normality and the heteroskedasticity of the residuals from models with the same predictors, but (1) a square-root-transformed response variable, and (2) a log-transformed response variable. If we set a threshold of significance at 0.05, which of the following statements is correct? The root-transformed model shows at least one significant improvement over the others and we should adopt it. The log-transformed model shows at least one significant improvement over the others and we should adopt it. None of the models are significantly better fits to OLS assumptions, so we may use the original model for now.

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Suppose Josiah is 73 inches tall and Ayra is 64 inches tall. Which of the following is true? Josiah is $73 - 64$ times as tall as Ayra. Josiah is $\frac{73}{64}$th times as tall as Ayra. Josiah is $\frac{64}{73}$rd times as tall as Ayra. Josiah is $73 + 64$ times as tall as Ayra. Josiah is $64 - 73$ times as tall as Ayra.

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What is true about the effects of electrically charged particles that are not in motion? 1) Negatively charged particles can attract neutrons. 2) Positively charged particles can attract neutrons. 3) Particles with the same charges attract each other. 4) Particles with opposite charges repel each other. 5) Particles with opposite charges attract each other. 6) Particles with both positive and negative charges can attract neutrons.

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