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Two particles X and Y , joined by a rigid rod of negligible mass, move along a s

ID: 3279127 • Letter: T

Question

Two particles X and Y, joined by a rigid rod of negligible mass, move along a smooth horizontal plane. Particle X has mass 9.64 kg and is pushed by an external force Fx of magnitude 24.5 N. Particle Y has mass 1.74 kg and is pulled along the plane by an external force Fy of magnitude 18.28 N. It is found that the two particles accelerate along the plane a fixed distance apart.

- Please provide workings and anwer. Thanks.

Two particles X and Y. joined by a rigid rod of negligible mass, move along a smooth horizontal plane. Particle Xhas mass 9.64 kg and is pushed by an external force Fx of magnitude 24.5 N. Particle Y has mass 1.74 kg and is pulled along the plane by an external force Fy of magnitude 18.28 N. It is found that the two particles accelerate along the plane a fixed distance apart. Calculate the common acceleration of the particles. Give your answer to 3 decimal places. Fx.

Explanation / Answer

Ans =

total mass m =9.64+1.74= 11.38 kg

total force a= 24.5+18.28= 42.78 N

F=ma

a=F/m =42.78/11.38= 3.759 m/s^2

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