11/29/2017 Name TEST 4 AU 17 PHYSICS 4A 5. (30 points) STATICS CH. 11: You are a

Question

11/29/2017 Name TEST 4 AU 17 PHYSICS 4A 5. (30 points) STATICS CH. 11: You are a student intern with a new start up engineering firm and got a promotional job building props for shows at the Annual Spring Shakespeare Festival in the woods. A beam is attached to a wall on stage, and at the other end is held in place by a cable of tension T. Check out the diagram. The beam has mass 1.0 kg. As you can see, the beam makes an angle of 50 degrees with the horizontal. (a) (26) What is the tension T? HINT: CHOOSE THE AXIS OF ROTATIONTO BE THE POINT WHERE THE BEAM AND WALL MEET. SEE CLASS NOTES INVOLVING THE HORIZONTAL AND NON-HORIZONTAL BEAM PROBLEMS AND MAKE ADJUSTMENTS. (b) (2) What is the horizontal component of force Fi exerted on the beam by the wall? (e) (2) What is the vertical component of force F exerted on the beam by the wall? 30° wall 0 50

Explanation / Answer

According to the concept of rotational dynamics

Given that

Mass of the beam m=1kg

Angle of beam making horizontally =50degree

Angle made between rope and beam =30 degree

Now we find the horizontal force

Horizontal force Fh=1*9.8*cos(50)=6.3N

Now we find the vertical force

Vertical force Fv=1*9.8*sin(50)=7.51N

Now we find the tension in the rope

Tension T=mg/cos30=1*9.8/cos30

=11.2 N

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