Question

5) A box of mass 8 kg rests on a smooth horizontal table. Two strings of equal length are attached to each end of the box, and these pass over a smooth pulley at each end of the table. The other ends of the strings are attached to other boxes, one of mass 5 kg , the other of mass m kg as shown in the diagram. The system is released from rest and the 8 kg box moves to the left with acceleration \( 1.96 \mathrm{~ms}^{-2} \). Find the value of \( m \). [6 marks]

          5) A box of mass 8 kg rests on a smooth horizontal table.

Two strings of equal length are attached to each end of the box, and these pass over a smooth pulley at each end of the table.
The other ends of the strings are attached to other boxes, one of mass 5 kg , the other of mass m kg as shown in the diagram.

The system is released from rest and the 8 kg box moves to the left with acceleration \( 1.96 \mathrm{~ms}^{-2} \).

Find the value of \( m \).
[6 marks]

5) A box of mass 8 kg rests on a smooth horizontal table.

Two strings of equal length are attached to each end of the box, and these pass over a smooth pulley at each end of the table.
The other ends of the strings are attached to other boxes, one of mass 5 kg , the other of mass m kg as shown in the diagram.

The system is released from rest and the 8 kg box moves to the left with acceleration 1.96 ms^-2.

Find the value of m.
[6 marks]

Added by Darnell C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mustaq K

Step 1

- The 8 kg box on the table experiences tension \( T_1 \) to the left and tension \( T_2 \) to the right. - The 5 kg box experiences gravitational force \( 5g \) downward and tension \( T_1 \) upward. - The \( m \) kg box experiences gravitational force \( mg \) Show more…

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5) A box of mass 8 kg rests on a smooth horizontal table. Two strings of equal length are attached to each end of the box, and these pass over a smooth pulley at each end of the table. The other ends of the strings are attached to other boxes, one of mass 5 kg , the other of mass m kg as shown in the diagram. The system is released from rest and the 8 kg box moves to the left with acceleration \( 1.96 \mathrm{~ms}^{-2} \). Find the value of \( m \). [6 marks]