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in the figure below, the block on the left incline is 6.40kg. angle 1= 60 degree

ID: 1881368 • Letter: I

Question

in the figure below, the block on the left incline is 6.40kg. angle 1= 60 degrees, angle 2= 24 degrees. all surfaces are frictionless.

find the mass of the block on the right for which the two blocks are in equilibrium (no acceleration)

mass=

Friday, September 21 11:57 AM jc FLpltPhysicsCopy of Mechancs leg hysics alg macmillan learning Georgia Southern University Armstrong Unit 6: Prelecture/Bridge Problems Problems: Newton's First And Second Laws Deadline: 100% until Tuesday, September 25 at 11:00 PM Problem 28 n the figure below, the block on the left incline is 6.40 kg. 01 60.0 and 2-24.0'. All surfaces are frictionless 82 1) Find the mass of the block on the right for which the two blocks are in equilibrium (no acceleration). (Express your answer to three significant figures.) 2.82 kg Submit Your submissions: 2.82 ix Computed value: 2.82Submitted: Friday, September 21 at 1:12 PM Feedback:

Explanation / Answer

on left block, Tension should be equal to sin component of weight.

T = m1gsin60

On right block, tension should also be equal to sin component of second block

T = m2gsin24

Equating

m1sin60 = m2sin24

m2 = m1sin60/sin24 = 2.13 m1

I was unsure, because text says 6.4kg and image says 6kg, so I am giving both values.

If m1 = 6.4kg ; m2 = 13.63kg

if m2 = 6kg ; m2 = 12.78kg

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