A uniform beam of mass MB = 0.

A uniform beam of mass MB = 0.8833 kg and length l = 0.8m isattached to a wall by a hinge at at one end and by a cord ofnegligible mass and length ls = 1.27 m that makes an angle ? withthe horizontal at the other end (see figure drawn on the board),such that the beam is horizontal. A mass mH = 0.55 kg is hung fromthe beam at a distance lH = 0.6 m from the hinge. What is thetension in the cord, and what is the magnitude and direction of theforce between the hinge and beam?


a) angle made by cord with the beam, theta =cos^-1(0.8/1.27)

= 50.96 degrees

As the beam is in equilibrium net force and net torqueacting on the beam must be zero.

let T is the tension in the cord.

net torque about hinge = 0

0.8333*9.8*(0.8/2) + 0.55*9.8*0.6*sin(90) -T*0.8*sin(50.96) = 0

T = (0.8333*9.8*(0.8/2) +0.55*9.8*0.6*sin(90))/(0.8*sin(50.96))

= 10.5 N<<<<<<<————-Answer

b) let Fx and Fy are component of force exerted by thehinge.

use, Fnetx = 0

Fx – T*cos(50.96) = 0

Fx = T*cos(50.96)

= 10.5*cos(50.96)

= 6.61 N

Apply, Fnety = 0

Fy + T*sin(50.96) – 0.8833*9.8 – 0.55*9.8 =0

Fy = 0.8833*9.8 + 0.55*9.8 -10.5*sin(50.96)

= 5.89 N

F_hinge = sqrt(Fx^2 +Fy^2)

= sqrt(6.61^2 + 5.89^2)

= 8.85 N<<<<<<<<<<———————-Answer

direction : theta = tan^-1(Fy/Fx)

= tan^-1(5.89/6.61)

= 41.7 degrees above +x axis<<<<<<<<<<———————-Answer

"Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"

Calculate your order
Pages (275 words)
Standard price: $0.00
Client Reviews
Our Guarantees
100% Confidentiality
Information about customers is confidential and never disclosed to third parties.
Original Writing
We complete all papers from scratch. You can get a plagiarism report.
Timely Delivery
No missed deadlines – 97% of assignments are completed in time.
Money Back
If you're confident that a writer didn't follow your order details, ask for a refund.

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
Power up Your Academic Success with the
Team of Professionals. We’ve Got Your Back.
Power up Your Study Success with Experts We’ve Got Your Back.