Forces in Mechanism
LAWS OF MOTION (ADDITIONAL)

371898 Two weights \(2 \mathrm{~N}\) and \(3 \mathrm{~N}\) are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity, then the tension in the string is

1 \(2.4 \mathrm{~N}\)
2 \(5.0 \mathrm{~N}\)
3 \(4.8 \mathrm{~N}\)
4 \(6.0 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371899 Two masses \(m_{1}=1 \mathrm{~kg}\) and \(m_{2}=2 \mathrm{~kg}\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure.

Assuming that both the masses start from rest, the distance travelled by the centre of mass in \(2 \mathrm{~s}\) is \(\left(\right.\) Take \(\left.\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\frac{20}{9} \mathrm{~m}\)
2 \(\frac{40}{9} \mathrm{~m}\)
3 \(\frac{2}{3} \mathrm{~m}\)
4 \(\frac{1}{3} \mathrm{~m}\)
5 \(4 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371900 Block \(A\) of mass \(m\) and block \(B\) of mass \(2 m\) are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at \(45^{\circ}\) to the horizontal on both the sides. If the coefficient of friction between the block \(A\) and the wedge is \(2 / 3\) and that between the block \(B\) and the wedge is \(1 / 3\) and both the blocks \(A\) and \(B\) are released from rest, the acceleration of \(A\) will be

1 -1
2 1.2
3 0.2
4 zero
LAWS OF MOTION (ADDITIONAL)

371901 Two masses \(A\) and \(B\) of \(15 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) are connected with a string passing over a frictionless pulley fixed at the corner of a table (as shown in figure). The coefficient of friction between the table and block is 0.4. The minimum mass of \(\mathrm{C}\), that may be placed on \(\mathrm{A}\) to prevent it from moving is :

1 \(10 \mathrm{~kg}\)
2 \(5 \mathrm{~kg}\)
3 zero
4 \(15 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371898 Two weights \(2 \mathrm{~N}\) and \(3 \mathrm{~N}\) are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity, then the tension in the string is

1 \(2.4 \mathrm{~N}\)
2 \(5.0 \mathrm{~N}\)
3 \(4.8 \mathrm{~N}\)
4 \(6.0 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371899 Two masses \(m_{1}=1 \mathrm{~kg}\) and \(m_{2}=2 \mathrm{~kg}\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure.

Assuming that both the masses start from rest, the distance travelled by the centre of mass in \(2 \mathrm{~s}\) is \(\left(\right.\) Take \(\left.\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\frac{20}{9} \mathrm{~m}\)
2 \(\frac{40}{9} \mathrm{~m}\)
3 \(\frac{2}{3} \mathrm{~m}\)
4 \(\frac{1}{3} \mathrm{~m}\)
5 \(4 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371900 Block \(A\) of mass \(m\) and block \(B\) of mass \(2 m\) are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at \(45^{\circ}\) to the horizontal on both the sides. If the coefficient of friction between the block \(A\) and the wedge is \(2 / 3\) and that between the block \(B\) and the wedge is \(1 / 3\) and both the blocks \(A\) and \(B\) are released from rest, the acceleration of \(A\) will be

1 -1
2 1.2
3 0.2
4 zero
LAWS OF MOTION (ADDITIONAL)

371901 Two masses \(A\) and \(B\) of \(15 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) are connected with a string passing over a frictionless pulley fixed at the corner of a table (as shown in figure). The coefficient of friction between the table and block is 0.4. The minimum mass of \(\mathrm{C}\), that may be placed on \(\mathrm{A}\) to prevent it from moving is :

1 \(10 \mathrm{~kg}\)
2 \(5 \mathrm{~kg}\)
3 zero
4 \(15 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371898 Two weights \(2 \mathrm{~N}\) and \(3 \mathrm{~N}\) are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity, then the tension in the string is

1 \(2.4 \mathrm{~N}\)
2 \(5.0 \mathrm{~N}\)
3 \(4.8 \mathrm{~N}\)
4 \(6.0 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371899 Two masses \(m_{1}=1 \mathrm{~kg}\) and \(m_{2}=2 \mathrm{~kg}\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure.

Assuming that both the masses start from rest, the distance travelled by the centre of mass in \(2 \mathrm{~s}\) is \(\left(\right.\) Take \(\left.\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\frac{20}{9} \mathrm{~m}\)
2 \(\frac{40}{9} \mathrm{~m}\)
3 \(\frac{2}{3} \mathrm{~m}\)
4 \(\frac{1}{3} \mathrm{~m}\)
5 \(4 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371900 Block \(A\) of mass \(m\) and block \(B\) of mass \(2 m\) are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at \(45^{\circ}\) to the horizontal on both the sides. If the coefficient of friction between the block \(A\) and the wedge is \(2 / 3\) and that between the block \(B\) and the wedge is \(1 / 3\) and both the blocks \(A\) and \(B\) are released from rest, the acceleration of \(A\) will be

1 -1
2 1.2
3 0.2
4 zero
LAWS OF MOTION (ADDITIONAL)

371901 Two masses \(A\) and \(B\) of \(15 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) are connected with a string passing over a frictionless pulley fixed at the corner of a table (as shown in figure). The coefficient of friction between the table and block is 0.4. The minimum mass of \(\mathrm{C}\), that may be placed on \(\mathrm{A}\) to prevent it from moving is :

1 \(10 \mathrm{~kg}\)
2 \(5 \mathrm{~kg}\)
3 zero
4 \(15 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371898 Two weights \(2 \mathrm{~N}\) and \(3 \mathrm{~N}\) are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity, then the tension in the string is

1 \(2.4 \mathrm{~N}\)
2 \(5.0 \mathrm{~N}\)
3 \(4.8 \mathrm{~N}\)
4 \(6.0 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371899 Two masses \(m_{1}=1 \mathrm{~kg}\) and \(m_{2}=2 \mathrm{~kg}\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure.

Assuming that both the masses start from rest, the distance travelled by the centre of mass in \(2 \mathrm{~s}\) is \(\left(\right.\) Take \(\left.\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(\frac{20}{9} \mathrm{~m}\)
2 \(\frac{40}{9} \mathrm{~m}\)
3 \(\frac{2}{3} \mathrm{~m}\)
4 \(\frac{1}{3} \mathrm{~m}\)
5 \(4 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371900 Block \(A\) of mass \(m\) and block \(B\) of mass \(2 m\) are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at \(45^{\circ}\) to the horizontal on both the sides. If the coefficient of friction between the block \(A\) and the wedge is \(2 / 3\) and that between the block \(B\) and the wedge is \(1 / 3\) and both the blocks \(A\) and \(B\) are released from rest, the acceleration of \(A\) will be

1 -1
2 1.2
3 0.2
4 zero
LAWS OF MOTION (ADDITIONAL)

371901 Two masses \(A\) and \(B\) of \(15 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) are connected with a string passing over a frictionless pulley fixed at the corner of a table (as shown in figure). The coefficient of friction between the table and block is 0.4. The minimum mass of \(\mathrm{C}\), that may be placed on \(\mathrm{A}\) to prevent it from moving is :

1 \(10 \mathrm{~kg}\)
2 \(5 \mathrm{~kg}\)
3 zero
4 \(15 \mathrm{~kg}\)