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Laws of Motion

JEE Main 2024 (Online) 29th January Evening ShiftMCQEasy📈 Topic in 21% papers+4−1
Ques. 1JEE Main 2024, 29 January (Evening Shift)

A stone of mass 900 g is tied to a string and moved in a vertical circle of radius 1 m making 10 rpm. The tension in the string, when the stone is at the lowest point is (if 2=9.8 and g=9.8 m/s2) :

  1. 17.8 N
  2. 97 N
  3. 9.8 N
  4. 8.82 N

Answer

(3) 9.8 N

Solution

[figure]

m=0.9 kg, = 2 N60= 2 1060= 3 rad/s

Lowest point: T-mg=m 2r

T=0.9 9.8+0.9 29 1

=8.82+0.9 9.89=8.82+0.98=9.8 N

At the lowest point T acts up, mg down; their difference gives the centripetal force.

Answer: (3)

Keep practising — Laws of Motion

Ques. 2JEE Main 2024, 27 January (Morning Shift)

A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve of radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g=10 m/s2) :

  1. 6.0 cm
  2. 5.4 cm
  3. 4.8 cm
  4. 4.2 cm
Ques. 3JEE Main 2024, 27 January (Morning Shift)

A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:

  1. 6
  2. 2
  3. 3
  4. 5
Ques. 4JEE Main 2024, 27 January (Evening Shift)

Given below are two statements : In the light of the above statements, choose the most appropriate answer from the options given below :

  1. Statement I is incorrect but Statement II is correct
  2. Both Statement I and Statement II are correct
  3. Both Statement I and Statement II are incorrect
  4. Statement I is correct but Statement II is incorrect

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