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11111nata11111 [884]
3 years ago
15

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contain

s 200 diodes.
(a) How many diodes would you expect to fail?
2 diodes
Physics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer: 2 diodes

Explanation:

Given : In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.

The number of diodes contained by circuit board = 200

Then , the expected number of diodes to fail is given by :-

0.01\times200=2

Therefore, there are 2 diodes that we will expect to fail.

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Four forces act on bolt A as shown; F1 150N, F2 80N, F3 110N and F4 100N. Determine the magnitude and direction of the resultant
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Complete Question

The  complete question(reference (chegg)) is shown on the first uploaded image

Answer:

The magnitude of the resultant force is  F  =  199.64 \ N

The  direction of the resultant force is  \theta  =  4.1075^o from the horizontal plane

Explanation:

Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be  Fcos(\theta ) while if the force is  moving away from the angle  then the resolved force is  Fsin (\theta )

Now  from the diagram let resolve the forces to their horizontal component

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          \sum F_x  =  150 cos(30) + 100cos(15) -80sin (20)

          \sum F_x  =  199.128 \ N

Now  resolving these force into their vertical component can be mathematically evaluated as

         \sum  F_{y}  =  150 sin(30) - 100sin(15) -110 +80 cos(20)

         \sum  F_{y}  =  14.30

Now the resultant force is mathematically evaluated as

        F  =  \sqrt{F_x^2 + F_y^2}

substituting values

        F  =  \sqrt{199.128^2 + 14.3^2}

        F  =  199.64 \ N

The  direction of the resultant force is  evaluated as

       \theta  =  tan^{-1}[\frac{F_y}{F_x} ]

substituting values

       \theta  =  tan^{-1}[\frac{ 14.3}{199.128} ]

       \theta  =  4.1075^o from the horizontal plane

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