Home Physics Work, Energy, Power and Collision Mix A car C of mass m 1 rests on a plank P of ma…
Physics Work, Energy, Power and Collision Mix MCQ (Single Correct)

A car C of mass m 1 rests on a plank P of mass m 2 . The plank rests on a smooth floor. The string and pulley are ideal. The car starts and moves towards the pulley with acceleration.

A
If m 1 >m 2 , the string will remain under tension.
B
If m l < m 2 , the string will become slack.
C
If m 1 = m 2 the string will have no tension, and C and P will have accelerations of equal magnitude.
D
C and P will have accelerations of equal magnitude if m 1 ≥ ≥ m 2

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

(a, b, c)

Let T = tension in the string.

F = force of friction between C and P.

If the string is under tension, the acceleration of C is the right = acceleration of P to the left = a.

T + F = m 1 a F – T = m 2 a

∴ ∴ T = (m 1 – m 2 ) a or T > 0 if m 1 > m 2 .

If m 1 < m 2 , T becomes < 0, i.e., it becomes slack.

If m 1 = m 2 , T = 0

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