Two blocks are connected over a massless pulley as shown in fig. The mass of block A is 10 kg and the coefficient of kinetic friction is 0.2. Block A slides down the incline at constant speed. The mass of block B in kg is:(a) 3.5 (b) 3.3(c) 3.0 (d) 2.5
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38
Answer:
B) 3.3kg
Explanation:
Mass of block A = 10kg (Given)
coefficient of kinetic friction = 0.2 (Given)
When the forces on block A in the plane of the incline, will be added -
T - Ff - W
Where the force of friction is given by
Ff = ukN =uk (mAgcos∅)
The component of the weight in the direction of the incline is given by -
W = mA}gsin∅
Solving for the tension, T, we find
T = mAg (sin 30° -ukcos 30°)
Since, T - mBg = 0 , thus
mB = mA (sin 30° -ukcos 30°)
or
mB = 3.3 kg
Thus, The mass of block B in kg is 3.3kg
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