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Laws of Motion

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Question : 29 of 40
Marks: +1, -0
Ten one-rupee coins are put on top of each other on a table. Each coin has a mass m. Give the magnitude and direction of
(a) the force on the 7th ^{\text{th }} coin (counted from the bottom) due to all the coins on its top,
(b) the force on the 7th ^{\text{th }} coin by the eighth coin,
(c) the reaction of the 6th ^{\text{th }} coin on the 7th coin.
Solution:  
Mass of each coin =m= m
(a) If F7F_7 be the force on 7th^{\text{th}} coin (counted from the bottom) experienced due to all coins above it, then F7F_7 = weight of three coins above it = 3 mg N (downwards)
(b)F87F_{87} = force on 7th7^{\text{th}} coin by 8th^{\text{th}} coin, then the 8th^{\text{th}} coin has to support the weight of the two coins above it. So, the 8th coin shall exert the force F87F_{87} such that F87F_{87} = weight of 8th coin + weight of two coins above the 8th^{\text{th}} coin =mg+2mg=3mg(N)= mg + 2mg= 3mg (N) and it acts downwards.
(c) The sixth coin experiences force equal to weight of the four coins above it. Hence reaction due to 6th^{\text{th}} coin on 7th^{\text{th}} coin = 4mgN4mg\\ N and it acts vertically upwards.
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