English
Karnataka Board PUCPUC Science Class 11

A Block of Mass 0.2 Kg is Suspended from the Ceiling by a Light String. a Second Block of Mass 0.3 Kg is Suspended from the

Advertisements
Advertisements

Question

A block of mass 0.2 kg is suspended from the ceiling by a light string. A second block of mass 0.3 kg is suspended from the first block by another string. Find the tensions in the two strings. Take g = 10 m/s2.

Sum
Advertisements

Solution

The free-body diagrams for both the blocks are shown below:

|

From the free-body diagram of the 0.3 kg block,
T = 0.3g
⇒ T= 0.3 × 10 = 3 N

Now, from the free-body diagram of the 0.2 kg block,
T1 = 0.2g + T
⇒ T1= 0.2 × 10 + 3 = 5 N
∴ The tensions in the two strings are 5 N and 3 N, respectively.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Newton's Laws of Motion - Exercise [Page 79]

APPEARS IN

HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 5 Newton's Laws of Motion
Exercise | Q 4 | Page 79

RELATED QUESTIONS

A particle of mass 0.3 kg is subjected to a force F = −kx with k = 15 N/m. What will be its initial acceleration if it is released from a point x = 20 cm?


A small block B is placed on another block A of mass 5 kg and length 20 cm. Initially, the block B is near the right end of block A (In the following Figure). A constant horizontal force of 10 N is applied to the block A. All the surfaces are assumed frictionless. Find the time that elapses before block B separates from A.


An empty plastic box of mass m is found to accelerate up at the rate of g/6 when placed deep inside water. How much sand should be put inside the box so that it may accelerate down at the rate of g/6?


Consider the situation shown in the following figure. Both the pulleys and the string are light and all the surfaces are frictionless.

  1. Find the acceleration of the mass M.
  2. Find the tension in the string.
  3. Calculate the force exerted by the clamp on the pulley A in the figure.


A monkey of mass 15 kg is climbing a rope fixed to a ceiling. If it wishes to go up with an acceleration of 1 m/s2, how much force should it apply on the rope? If the rope is 5 m long and the monkey starts from rest, how much time will it take to reach the ceiling?


Define linear momentum and state its S.I. unit.


Show that the rate of change of momentum = mass × acceleration. Under what condition does this relation hold?


Use Newton's second law of motion to explain the following instance : 

A cricketer pulls his hands back while catching a fast moving cricket ball .


State the magnitude and direction of the force of gravity acting on the body of mass 5 kg. Take g = 9.8 m s-2.


A ball is thrown vertically upwards. It returns 6 s later. Calculate the greatest height reached by the ball. (Take g = 10 m s−2)


How long will a stone take to fall to the ground from the top of a building 80 m high 


A pebble is dropped freely in a well from its top. It takes 20 s for the pebble to reach the water surface in the well. Taking g = 10 m s-2 and speed of sound = 330 m s-1. Find : The time when echo is heard after the pebble is dropped.


State two factors which determine the momentum of a body.


What do you mean by linear momentum of a body?


Which of the following has the largest inertia?


A stone is dropped from a tower 98 m high. With what speed should a second stone be thrown 1 s later so that both hit the ground at the same time?


A body of mass 2 kg travels according to the law x(t) = pt + qt2 + rt3 where p = 3 ms−1, q = 4 ms−2 and r = 5 ms−3. The force acting on the body at t = 2 seconds is ______.


The motion of a particle of mass m is given by x = 0 for t < 0 s, x(t) = A sin 4 pt for 0 < t < (1/4) s (A > o), and x = 0 for t > (1/4) s. Which of the following statements is true?

  1. The force at t = (1/8) s on the particle is – 16π2 Am.
  2. The particle is acted upon by on impulse of magnitude 4π2 A m at t = 0 s and t = (1/4) s.
  3. The particle is not acted upon by any force.
  4. The particle is not acted upon by a constant force.
  5. There is no impulse acting on the particle.

The position time graph of a body of mass 2 kg is as given in figure. What is the impulse on the body at t = 0 s and t = 4 s.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×