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natima [27]
3 years ago
5

The uniform 100-kg I-beam is supported initially by its end rollers on the horizontal surface at A and B. by means of the cable

at C, it is desired to elevate end B to a position 3 m above end A. Determine the required tension P, the reaction at A, and the angle q made by the beam with the horizontal in the elevated position.

Physics
1 answer:
Ann [662]3 years ago
8 0

I attached a free body diagram for a better understanding of this problem.

We start making summation of Moments in A,

\sum M_A = 0

P(6cos\theta)-981(4cos\theta)=0

P=654N

Then we make a summation of Forces in Y,

\sum F_y = 0

654+R-981 = 0

R=327N

At the end we calculate the angle with the sin.

sin\theta = \frac{3m}{4m+2m+2m} = \frac{3m}{8m}

\theta = 22.02\°

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Explanation:

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3 years ago
You and your family are traveling to daytona beach for a vacation and your dad wants to get there in 7 hours. If daytona is 725
ollegr [7]

Answer:

103.57 Km/h

Explanation:

From the question given above, the following data were obtained:

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Time = 7 hours

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Speed can be defined as the distance travelled per unit time. Mathematically, it is expressed as:

Speed = Distance /time

With the above formula, we can calculate how fast he will drive (i.e the speed) in order to get there on time. This is illustrated below:

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4 0
3 years ago
A river flows due east at 12 km/h. A boat crosses the 720 m wide river by maintaining a constant velocity of 72 mi/h due north r
zhenek [66]

Answer:

The boat will be 74 .17 meters downstream by the time it reaches the shore.

Explanation:

Consider the vector diagrams for velocity and distance shown below.

converting 72 miles per hour to km/hr

we have 72 miles per hour 72 × 1.60934 = 115.83 km/hr

The velocity vectors form a right angled triangle, and can be solved using simple trigonometric laws

tan \theta = \frac{12}{115.873}

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This is the vector angle with which the ship drifts away with respect to its northward direction.

<em>From the sketch of the displacement vectors,  we can use trigonometric ratios to determine the distance the boat moves downstream.</em>

Let x be the distance  the boat moves downstream.d

sin(5.9126)=\frac{x}{720}

x= 720\times 5.9126

x=74.17m

∴The boat will be 74 .17 meters downstream by the time it reaches the shore.

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