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The masses of 10 kg and 20 kg respectively are connected by a massless spring in fig. A force of 200 newton acts on the 20 kg mass. At the instant shown, the 10 kg mass has acceleration 12 m/sec2. What is the acceleration of 20 kg mass?
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Force on 10 kg mass = 10 × 12 = 120 N The mass of 10 kg will pull the mass of 20 kg in the backward direction with a force of 120 N. Net force on mass 20 kg = 200 – 120 = 80 N Its acceleration= Mass/Force = 80/20 = 4m/s2
Semicircle C1 is drawn with line segment PQ as its diameter with center at R. Semicircles C2 and C3 are drawn with PR and QR as diameters respectively, both C2 and C3 lying inside C1. A full circle C4 is drawn in such a way that it is tangent to all the three semicircles C1, C2 and C3. C4 lies inside C1 and outside both C2 and C3. What is the ratio of area of C1 and C4?
In a row of cars, blue car is at the bottom. There are 18 cars between yellow and blue car. There are 8 cars between red and blue car. If there are 6 cars above yellow car, then how many minimum cars are there in the row?
Who took the charge of Vice Chief of the Army Staff on 01 September 2019?
Lt Gen Manoj Mukund Naravane assumed the charge of Vice Chief of the Army Staff on 01 September 2019. He succeeds Lt Gen Devraj Anbu who superannuated on 31 August 2019.
Read the following information carefully and answer the question given below-
How many triangles are there in the following figure?
As per the above labelled diagram the triangles formed are: ACF, FCJ, FJG, GJH, GHB, BHD = 6 ACE, AFE = 2 FCI, ICJ, IJL = 3 GLO, GOB, BOH, LCJ = 4 BCD, COH, ACB, FCB, GLB, FIB, BHC =7 Thus, there are total (6+2+3+4+7) = 22 triangles.
Consider the following sequence: 0, 6, 24, 60, 120, 210.
Which one of the following numbers will come next in the sequence?
The pattern is 0+6=6 6+18=(6+12)=24 24+36=(18+18)=60 60+60=(36+24)=120 120+90=(60+30)=210 210+126=(90+36)=336
An organic compound which produces bluish green coloured flame on heating in presence of copper is -
Halogen containing compounds, e.g., C6H5Cl when placed in a flame, the presence of halogen is revealed by a green to blue flame.
Which of the following is a wrong example of friction?
A person lifting an heavy object is a wrong example of friction. Specific examples of sliding friction include: • Rubbing both hands together to create heat. • A sled sliding across snow or ice. • Skis sliding against snow. • A person sliding down a slide is an example of sliding friction. • A coaster sliding against a table. • A washing machine pushed along a floor. 3
4 years ago, the average age of A, B, C and D was 48 years With E joining them now, the average age of all the five members is 53 years. how old is E ?
Sum of present age of A, B, C, D = 48 × 4 + 4 × 4 = 192 + 16 = 208 years Sum of Present of A, B, C, D and E = 53 × 5 = 265 years Present age of E = 265 - 208 = 57 Years.
Srinivasan invests two equal amounts in two banks giving 8% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1500. Find the sum invested in each.
Let the sum invested be x. ⇒ 8x/100 + 12x/100 = 1500 ⇒ 20x = 150000 ⇒ x = 7500
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