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In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body. In these types of bodies every point mass within the body is connected to the whole with no gaps in between. These bodies are called continuous bodies and the distribution of mass is known as continuous mass distribution. There are 3 types of mass distributions, namely linear, surface and volume mass distributions. Linear mass distribution is defined as mass per length. Linear mass distribution is used for long thin M (kg) For infinitesimal unit of mass, dm, dm = Adl 1-dimensional objects, i.e. λ = L (m) Surface area mass distribution is defined as mass per surface area. Surface mass distribution is used M (kg) For infinitesimal unit of mass, dm, A(m²)* for thin surface areas of 2-dimesional objects, i.e. o = dm = odA Volume mass distribution is defined as mass per volume. Volume mass distribution is used for M (kg) For infinitesimal unit of mass, dm dm = pdV volumes of 3-dimesional objects, i.e. p = V(m³) Use the above information to solve the following problems. Problem 1 Determine the mass of a uniform rod of length L and linear mass distribution, λ= 20x kgm. Before solving the problem first conceptualise it. Problem 2 Determine the mass of a uniform disk of radius r and linear surface area distribution, o = 20r kgm ². Before solving the problem first conceptualise it and use polar coordinates to solve the problem.

In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body. In these types of bodies every point mass within the body is connected to the whole with no gaps in between. These bodies are called continuous bodies and the distribution of mass is known as continuous mass distribution. There are 3 types of mass distributions, namely linear, surface and volume mass distributions. Linear mass distribution is defined as mass per length. Linear mass distribution is used for long thin M (kg) For infinitesimal unit of mass, dm, dm = Adl 1-dimensional objects, i.e. λ = L (m) Surface area mass distribution is defined as mass per surface area. Surface mass distribution is used M (kg) For infinitesimal unit of mass, dm, A(m²)* for thin surface areas of 2-dimesional objects, i.e. o = dm = odA Volume mass distribution is defined as mass per volume. Volume mass distribution is used for M (kg) For infinitesimal unit of mass, dm dm = pdV volumes of 3-dimesional objects, i.e. p = V(m³) Use the above information to solve the following problems. Problem 1 Determine the mass of a uniform rod of length L and linear mass distribution, λ= 20x kgm. Before solving the problem first conceptualise it. Problem 2 Determine the mass of a uniform disk of radius r and linear surface area distribution, o = 20r kgm ². Before solving the problem first conceptualise it and use polar coordinates to solve the problem.

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Please assist me in answering problem 1 and problem 2

in In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body. In these types of bodies every point mass within the body is connected to the whole with no gaps between. These bodies are called continuous bodies and the distribution of mass is known as continuous mass distribution. There are 3 types of mass distributions, namely linear, surface and volume mass distributions. Linear mass distribution is defined as mass per length. Linear mass distribution is used for long thin For infinitesimal unit of mass, dm, dm = Adl 1-dimensional objects, i.e. λ = L (m) M (kg) Surface area mass distribution is defined as mass per surface area. Surface mass distribution is used M(kg) For infinitesimal unit of mass, dm, for thin surface areas of 2-dimesional objects, i.e. o = A(m²) dm = odA Volume mass distribution is defined as mass per volume. Volume mass distribution is used for M (kg) For infinitesimal unit of mass, dm dm = pdV volumes of 3-dimesional objects, i.e. p= V(m³)* Use the above information to solve the following problems. Problem 1 Determine the mass of a uniform rod of length L and linear mass distribution, λ= 20x kgm. Before solving the problem first conceptualise it. Problem 2 Determine the mass of a uniform disk of radius r and linear surface area distribution, o = 20r kgm 2. Before solving the problem first conceptualise it and use polar coordinates to solve the problem.
Transcribed Image Text:in In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body. In these types of bodies every point mass within the body is connected to the whole with no gaps between. These bodies are called continuous bodies and the distribution of mass is known as continuous mass distribution. There are 3 types of mass distributions, namely linear, surface and volume mass distributions. Linear mass distribution is defined as mass per length. Linear mass distribution is used for long thin For infinitesimal unit of mass, dm, dm = Adl 1-dimensional objects, i.e. λ = L (m) M (kg) Surface area mass distribution is defined as mass per surface area. Surface mass distribution is used M(kg) For infinitesimal unit of mass, dm, for thin surface areas of 2-dimesional objects, i.e. o = A(m²) dm = odA Volume mass distribution is defined as mass per volume. Volume mass distribution is used for M (kg) For infinitesimal unit of mass, dm dm = pdV volumes of 3-dimesional objects, i.e. p= V(m³)* Use the above information to solve the following problems. Problem 1 Determine the mass of a uniform rod of length L and linear mass distribution, λ= 20x kgm. Before solving the problem first conceptualise it. Problem 2 Determine the mass of a uniform disk of radius r and linear surface area distribution, o = 20r kgm 2. Before solving the problem first conceptualise it and use polar coordinates to solve the problem.
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