Light Linear
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![]() Uttermost Andros, 1 Lt Wall Sconce 22485 US $107.80
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![]() Uttermost Andros, 3 Lt Pendant 21928 US $327.80
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![]() Uttermost Quarry, 1 Lt Mini Pendant 21896 US $195.80
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![]() Uttermost Quarry, 3 Lt Semi Flush Mount 22268 US $250.80
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![]() Uttermost Quarry, 4 Lt Chandelier 21224 US $327.80
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![]() 10 PCS 6W MR16 GU5.3 30˚ 12VAC/DC LED Bulb Warm White Spotlight Downlight Lamp US $120.00
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![]() Linear Bar 3-Light Chrome Finish US $52.05
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![]() 3 Light Linear Bar In Satin Nickel US $52.05
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What is the linear acceleration of the brick and the tension in the string?
A 4.5kg brick is suspended by a light strong from a 2.0 kg pulley. The brick is released from rest and falls to the floor below. The pulley may be considered a solid disk of radius 1.5 m. What is the linear acceleration of the brick and then tension in the string?
Let tension in string be T and linear acceleration of brick be 'a'. W have
4.5*9.8 - T = 4.5*a ----------------------------------------------------- 1 also
T*1.5 = [[2*(1.5^2)]/2]*(a/1.5) or
T = [[2*(1.5^2)]/2]*[a/(1.5)^2] ----------------------------------------- 2
Adding 1 and 2 and simplifying we get
44.1 = 4.5*a + a = 5.5*a or a = 8.02 m/s^2
and T = 44.1 - 36.08 = 8.02 N
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