Mastering Engineering MasteringComputerScience: Assignment 2 Vector Operations-2

Question

Mastering Engineering MasteringComputerScience: Assignment 2 Vector Operations-2D Equilibrium Google Chrome geng 4057119 Engineering Mechanics: Statics Fall 2015 Assignment2-Vector Operations 2DELLA Problem 3.15 Problem 3.15 Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The unstretched length of spring AB is 3.2 m. lf the block is held in the equilibrium vector sum delete element 1 attributes position shown, determine the mass of the block at D Eigure 1) kac 20 N/m AC AB FADE AAD 40 My Answers Give Up Correct v of 1 Figure 1 Part B Determine the mass of the block at D Express your answer to three significant figures and include the appropriate units. m 8.56 kg Submit My Answers Give Up Incorrect, Try Again; 4 attempts remaining Dw Help I close Resources previous l 9 of 11 l next. Bioxide Eeedback Continue 647 PM 9/20/20

Explanation / Answer

Here ,

B)

length of strached spring left , x = sqrt(3^2 + 3^2)

x = 4.24 m

Now , force in left spring , Fl = k * (x - x0)

Fl = 20 * (4.24 - 3.2)

Fl = 20.8 N

for the force in right spring

x = sqrt(4^2 + 3^2)

x = 5 m

Fr = 30 * (5 - 3.2)

Fr = 54 N

Now , let the mass of block is m

m * g = Fr * (3/5) + Fl * 3/4.24

m * 9.8 = 20.8 * (0.6) + 54 * 0.708

solving for m

m = 5.17 Kg

the mass of block at D is 5.17 kg

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