The situation shown in the figure, all surfaces are frictionless. Masses of blocks B and C are 1 kg and 2kg, respectively. Find the mass of the blocks A for which the
block B remains stationary with respect to block C.

Question

Infinity Learn · Accepted Answer

Taking blocks B and C as a system, Nsin⁡$$30$$∘$$=mB+mCa0(leftward)$$.Here, N is normal reaction between A and C.From free body diagram of block B in the frame of block C.    mBgsin⁡$$30$$∘$$=mBa0cos$$⁡$$30$$∘∴     $$a0=103m/s2From$$ free body diagram of block A in the frame of block $$CN+mAa0sin$$⁡$$30$$∘$$=mAgcos$$⁡$$30$$∘or  $$mB+mCa0sin$$⁡$$30$$∘$$+mAa0sin$$⁡$$30$$∘$$=mAgcos$$⁡$$30$$∘or  $$3$$×$$103$$×$$2+mA$$×$$1023=mA$$×$$10$$×$$32$$∴$$mA=6kg$$

Equilibrium of a particle

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The situation shown in the figure, all surfaces are frictionless. Masses of blocks B and C are 1 kg and 2kg, respectively. Find the mass of the blocks A for which the
block B remains stationary with respect to block C.

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Equilibrium of a particle

Remember concepts with our Masterclasses.

The situation shown in the figure, all surfaces are frictionless. Masses of blocks B and C are 1 kg and 2kg, respectively. Find the mass of the blocks A for which theblock B remains stationary with respect to block C.

Ready to Test Your Skills?

free study material

The situation shown in the figure, all surfaces are frictionless. Masses of blocks B and C are 1 kg and 2kg, respectively. Find the mass of the blocks A for which the
block B remains stationary with respect to block C.