Pseudo force related problem questions with solutions

Showing 1–10 of 46 questions

• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A bob hangs from a string over a pulley inside a car accelerating horizontally with acceleration a. A person in the car pulls the other end of the string downward with acceleration a relative to the car. The string tension is:

  

  Options

  • Option A

    m√(g²+a²)

  • Option B

    m√(g²+a²)-ma

  • Option C

    m√(g²+a²)+ma

  • Option D

    m(g+a)

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time t₁ when the elevator is stationary and t₂ when it moves with uniform velocity. Then:

  Options

  • Option A

    t₁=t₂

  • Option B

    t₁>t₂

  • Option C

    t₁<t₂

  • Option D

    Relation depends on whether elevator moves up or down

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• MCQdifficultNewtons law of motion and FrictionPseudo force related problem

  An Atwood machine with masses 3m and m is suspended inside a lift accelerating vertically upward with acceleration g/2. The acceleration of 3m relative to the lift is:

  Options

  • Option A

    g/4

  • Option B

    g/2

  • Option C

    3g/4

  • Option D

    g

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A 4 kg body appears to weigh 4.8 kg-wt in a moving lift. The lift acceleration is:

  Options

  • Option A

    9.80 m s⁻² downward

  • Option B

    9.80 m s⁻² upward

  • Option C

    1.96 m s⁻² downward

  • Option D

    1.96 m s⁻² upward

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A wedge of mass M is pushed horizontally so that a small block of mass m remains stationary relative to it. The wedge angle is β. The required horizontal force P is:

  

  Options

  • Option A

    (M+m)g tanβ

  • Option B

    g tanβ

  • Option C

    mg cosβ

  • Option D

    (M+m)g cosecβ

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A plumb line hangs from the ceiling of a car accelerating horizontally with acceleration a. Its angle with the vertical is:

  Options

  • Option A

    tan⁻¹(a/g)

  • Option B

    tan⁻¹(g/a)

  • Option C

    cos⁻¹(a/g)

  • Option D

    cos⁻¹(g/a)

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• MCQdifficultNewtons law of motion and FrictionPseudo force related problem

  A wedge of mass M and inclination α rests on a smooth horizontal floor. A small block of mass m is released from rest on its smooth inclined face. The magnitude of horizontal acceleration of the wedge is:

  Options

  • Option A

    mg sinα cosα/(M + m sin²α)

  • Option B

    mg sinα cosα/(M + m cos²α)

  • Option C

    mg sinα/(M + m)

  • Option D

    mg cosα/(M + m)

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A block lies on the floor of an elevator initially at rest. The elevator suddenly accelerates downward at 13 m s⁻². Take g=10 m s⁻². What is the separation between block and floor after 0.2 s?

  Options

  • Option A

    26 cm

  • Option B

    6 cm

  • Option C

    46 cm

  • Option D

    20 cm

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• MCQdifficultNewtons law of motion and FrictionPseudo force related problem

  A smooth wedge of inclination 37° rises towards the right and accelerates horizontally towards the right with a = 10 m/s². A 2 kg block remains in contact with the inclined surface. Take g = 10 m/s², sin37° = 3/5 and cos37° = 4/5. The normal reaction exerted by the wedge on the block is:

  Options

  • Option A

    4 N

  • Option B

    8 N

  • Option C

    20 N

  • Option D

    28 N

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• MCQmediumNewtons law of motion and FrictionPseudo force related problem

  A wedge of mass 10 kg rests on a frictionless horizontal surface. Its smooth inclined face makes an angle of 37° with the horizontal. A 2 kg block is placed at the highest point of the incline and is initially at rest relative to the wedge. At t = 0, a constant horizontal force of 24 N is applied to the wedge toward the right. Taking tan37° = 3/4 and g = 10 m·s⁻², approximately how much time does the block take to slide 8.8 m down the incline relative to the wedge?

  

  Options

  • Option A

    2 s

  • Option B

    4 s

  • Option C

    √2 s

  • Option D

    2√2 s

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