05. Motion in Inclined Plane
Motion in One Dimensions

141948 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141949 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141950 Three different objects \(m_{1}, m_{2}\) and \(m_{3}\) are allowed to fall from rest and from the same point \(O\) along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

1 \(\mathrm{m}_{1}: \mathrm{m}_{2}: \mathrm{m}_{3}\)
2 \(1: 1: 1\)
3 \(\mathrm{m}_{1}: 2 \mathrm{~m}_{2}: 3 \mathrm{~m}_{3}\)
4 \(\frac{1}{\mathrm{~m}_{1}}: \frac{1}{\mathrm{~m}_{2}}: \frac{1}{\mathrm{~m}_{3}}\)
Motion in One Dimensions

141951 A block of mass \(m\) is placed on a smooth inclined wedge \(A B C\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration ' \(a\) ' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is
original image

1 \(a=\frac{g}{\operatorname{cosec} \theta}\)
2 \(a=\frac{g}{\sin \theta}\)
3 \(\mathrm{a}=\mathrm{g} \tan \theta\)
4 \(a=g \cos \theta\)
Motion in One Dimensions

141952 Two bodies of masses \(m_{1}=5 \mathrm{~kg}\) and \(m_{2}=3 \mathrm{~kg}\) are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass \(m_{1}\) will be:[take \(g=10 \mathrm{~ms}^{-2}\)

1 30 N
2 40 N
3 50 N
4 60 N
original image
Motion in One Dimensions

141948 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141949 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141950 Three different objects \(m_{1}, m_{2}\) and \(m_{3}\) are allowed to fall from rest and from the same point \(O\) along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

1 \(\mathrm{m}_{1}: \mathrm{m}_{2}: \mathrm{m}_{3}\)
2 \(1: 1: 1\)
3 \(\mathrm{m}_{1}: 2 \mathrm{~m}_{2}: 3 \mathrm{~m}_{3}\)
4 \(\frac{1}{\mathrm{~m}_{1}}: \frac{1}{\mathrm{~m}_{2}}: \frac{1}{\mathrm{~m}_{3}}\)
Motion in One Dimensions

141951 A block of mass \(m\) is placed on a smooth inclined wedge \(A B C\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration ' \(a\) ' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is
original image

1 \(a=\frac{g}{\operatorname{cosec} \theta}\)
2 \(a=\frac{g}{\sin \theta}\)
3 \(\mathrm{a}=\mathrm{g} \tan \theta\)
4 \(a=g \cos \theta\)
Motion in One Dimensions

141952 Two bodies of masses \(m_{1}=5 \mathrm{~kg}\) and \(m_{2}=3 \mathrm{~kg}\) are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass \(m_{1}\) will be:[take \(g=10 \mathrm{~ms}^{-2}\)

1 30 N
2 40 N
3 50 N
4 60 N
original image
Motion in One Dimensions

141948 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141949 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141950 Three different objects \(m_{1}, m_{2}\) and \(m_{3}\) are allowed to fall from rest and from the same point \(O\) along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

1 \(\mathrm{m}_{1}: \mathrm{m}_{2}: \mathrm{m}_{3}\)
2 \(1: 1: 1\)
3 \(\mathrm{m}_{1}: 2 \mathrm{~m}_{2}: 3 \mathrm{~m}_{3}\)
4 \(\frac{1}{\mathrm{~m}_{1}}: \frac{1}{\mathrm{~m}_{2}}: \frac{1}{\mathrm{~m}_{3}}\)
Motion in One Dimensions

141951 A block of mass \(m\) is placed on a smooth inclined wedge \(A B C\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration ' \(a\) ' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is
original image

1 \(a=\frac{g}{\operatorname{cosec} \theta}\)
2 \(a=\frac{g}{\sin \theta}\)
3 \(\mathrm{a}=\mathrm{g} \tan \theta\)
4 \(a=g \cos \theta\)
Motion in One Dimensions

141952 Two bodies of masses \(m_{1}=5 \mathrm{~kg}\) and \(m_{2}=3 \mathrm{~kg}\) are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass \(m_{1}\) will be:[take \(g=10 \mathrm{~ms}^{-2}\)

1 30 N
2 40 N
3 50 N
4 60 N
original image
Motion in One Dimensions

141948 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141949 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141950 Three different objects \(m_{1}, m_{2}\) and \(m_{3}\) are allowed to fall from rest and from the same point \(O\) along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

1 \(\mathrm{m}_{1}: \mathrm{m}_{2}: \mathrm{m}_{3}\)
2 \(1: 1: 1\)
3 \(\mathrm{m}_{1}: 2 \mathrm{~m}_{2}: 3 \mathrm{~m}_{3}\)
4 \(\frac{1}{\mathrm{~m}_{1}}: \frac{1}{\mathrm{~m}_{2}}: \frac{1}{\mathrm{~m}_{3}}\)
Motion in One Dimensions

141951 A block of mass \(m\) is placed on a smooth inclined wedge \(A B C\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration ' \(a\) ' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is
original image

1 \(a=\frac{g}{\operatorname{cosec} \theta}\)
2 \(a=\frac{g}{\sin \theta}\)
3 \(\mathrm{a}=\mathrm{g} \tan \theta\)
4 \(a=g \cos \theta\)
Motion in One Dimensions

141952 Two bodies of masses \(m_{1}=5 \mathrm{~kg}\) and \(m_{2}=3 \mathrm{~kg}\) are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass \(m_{1}\) will be:[take \(g=10 \mathrm{~ms}^{-2}\)

1 30 N
2 40 N
3 50 N
4 60 N
original image
Motion in One Dimensions

141948 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141949 Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_{1}\). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_{2}\). The time taken by her to walk up on the moving escalator

1 \(\frac{t_{1}+t_{2}}{2}\)
2 \(\frac{t_{1} t_{2}}{t_{1}-t_{2}}\)
3 \(\frac{t_{1} t_{2}}{t_{1}+t_{2}}\)
4 \(t_{1}+t_{2}\)
Motion in One Dimensions

141950 Three different objects \(m_{1}, m_{2}\) and \(m_{3}\) are allowed to fall from rest and from the same point \(O\) along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

1 \(\mathrm{m}_{1}: \mathrm{m}_{2}: \mathrm{m}_{3}\)
2 \(1: 1: 1\)
3 \(\mathrm{m}_{1}: 2 \mathrm{~m}_{2}: 3 \mathrm{~m}_{3}\)
4 \(\frac{1}{\mathrm{~m}_{1}}: \frac{1}{\mathrm{~m}_{2}}: \frac{1}{\mathrm{~m}_{3}}\)
Motion in One Dimensions

141951 A block of mass \(m\) is placed on a smooth inclined wedge \(A B C\) of inclination \(\theta\) as shown in the figure. The wedge is given an acceleration ' \(a\) ' towards the right. The relation between \(a\) and \(\theta\) for the block to remain stationary on the wedge is
original image

1 \(a=\frac{g}{\operatorname{cosec} \theta}\)
2 \(a=\frac{g}{\sin \theta}\)
3 \(\mathrm{a}=\mathrm{g} \tan \theta\)
4 \(a=g \cos \theta\)
Motion in One Dimensions

141952 Two bodies of masses \(m_{1}=5 \mathrm{~kg}\) and \(m_{2}=3 \mathrm{~kg}\) are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass \(m_{1}\) will be:[take \(g=10 \mathrm{~ms}^{-2}\)

1 30 N
2 40 N
3 50 N
4 60 N
original image