In the given figure- all pulleys are ideal and surfaces are frictionless- Masses of A- B and C are 4 kg - 5 kg and 2 kg- Take g -10 m - s 2 A- Acceleration of A is 5-2 m - s 2 downwards- B- Acceleration of C is 9-67 m - s 2-C- Tension in string connecting C is 19-4 N-D- Tension in string connecting B is 9-5 N-

The correct options are A Acceleration of A is 5.2 nbsp;m/s^2 downwards. B Acceleration of C is 9.67 m/s^2. C Tension in string connecting C is 19.4 N. nbsp ...

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Byju's Answer

Standard XII

Physics

Acceleration

In the given ...

Question

In the given figure, all pulleys are ideal and surfaces are frictionless. Masses of A, B and C are 4 kg, 5 kg and 2 kg. (Take $g = 10 m / s^{2}$ )

Acceleration of A is 5.2

m / s^{2}

downwards.

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Acceleration of C is 9.67

m / s^{2}

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Tension in string connecting C is 19.4 N.

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Tension in string connecting B is 9.5 N.

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Solution

The correct options are
A Acceleration of A is 5.2 $m / s^{2}$ downwards.
B Acceleration of C is 9.67 $m / s^{2}$ .
C Tension in string connecting C is 19.4 N.
$40 - T = 4 a_{A} . . . . . . . . . . . . . . . . . (1) 2 T - 50 = 5 a_{B} . . . . . . . . . . . . . . . . . (2) a n d T = 2 a_{c} . . . . . . . . . . . . . . . . . (3) A l s o, T a_{C} + 2 T a_{B} - T a_{A} = 0 a_{C} + 2 a_{B} - a_{A} = 0 . . . . . . . . . . . . . . . . (4) S o l v i n g, \frac{T}{2} + \frac{2 (2 T - 50)}{5} - \frac{(40 - T)}{4} = 0 S o l v i n g w e g e t, T = \frac{600}{31} N a_{C} = 9.67 m / s^{2} a_{A} = 5.2 m / s^{2}$

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Q. From the given figure where all pulleys are ideal and

g = 10 m / s^{2}

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In the given figure, all pulleys are ideal and surfaces are frictionless. Masses of A, B and C are 4 kg, 5 kg and 2 kg. (Take g=10 m/s2)

In the given figure, all pulleys are ideal and surfaces are frictionless. Masses of A, B and C are 4 kg, 5 kg and 2 kg. (Take $g = 10 m / s^{2}$ )