JEE Class main Answered
A man has constructed a toy as shown in fig. If the density of the material of the sphere is 12 times that
of the cone then determine the position of the centre of mass. [Centre of mass of a cone of height h is
at height of h4 from its base.]
Asked by rushabhjain.a | 21 Oct, 2019, 10:03: PM
Expert Answer
Dimensions of the toy are shown in figure.
Centre of mass of solid cone is at 1/4 of height from base and is located at axis of cone as shown C in figure
Centre of mass of spolid sphere is at centre as shown C in figure.
mass of cone , mC = (1/3)π (2R)2 (4R) ρ = (16/3) πR3ρ = (16/3)α
where ρ is density of material of solid cone, and α = πR3ρ
mass of sphere, mS = (4/3)π (2R)3 12ρ= 128α
Centre of mass of toy = [ mC × R + mS × 5R ] / ( mC + mS ) = [ (16/3)α R + ( 128α × 5R ) ] / ( (16/3)α + 128α ) = 4.84 R
Hence centre of mass of toy is at 4.84 R from base , located at axis of toy
Answered by Thiyagarajan K | 22 Oct, 2019, 01:08: PM
Application Videos
-
Elastic potential energy_Restoring force and spring con ...
In this video, the restoring force and spring constant is explained. The vi... -
Expression of Elastic potential energy_2
This video describes the potential energy of spring when it is compressed o... -
Potential Energy Curve
This video describes the potential energy curve and ature of forces based o... -
Work done by static friction
This video describes effect of static friction on the work done by the obje... -
Work done in conservative field - 1
The concept of conservative field, types of conservative forces and example...
JEE main - Physics
Asked by sandhyapallapu22 | 03 May, 2024, 04:32: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by gamingbadboy085 | 01 May, 2024, 06:28: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by bhargavreddynellaballi | 30 Apr, 2024, 08:18: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by ravichandraravula66 | 29 Apr, 2024, 11:20: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by kmani310507 | 28 Apr, 2024, 04:38: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by arivaryakashyap | 23 Apr, 2024, 10:40: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by ratnadeep.dmr003 | 21 Apr, 2024, 11:06: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by ksahu8511 | 19 Apr, 2024, 11:55: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by mohammedimroz | 13 Apr, 2024, 09:48: PM
ANSWERED BY EXPERT
