Radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Find its radius of gyration about a parallel axis passing through its centre of mass.

Q: Consider a uniform horizontal disc of 100 kg. A point object is placed on the edge of the disc. The…

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Q: Is the center of mass system an inertial frame?

A: Center of mass frame is an inertial frame of reference.

Q: ou have a summer internship at NASA and are working on plans for a new space station to be launched…

A: Write the expression of the centrifugal acceleration, and solve for the rotational speed of the…

Q: Locate the centre of mass of a uniform semicircular ring of radius R and linear mass density 2.

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Q: Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which…

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Q: Find the mass of a spherical solid of radius a if the density is proportional to the distance from…

A: The density ρ(x,y,z)=kx2+y2+z2=kρwhere k is proportionality constant.x= rcos θsin ϕy=r sinϕ…

Q: The farther away the mass is located from the center of rotation, the harder it is to rotate the…

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Q: (a) Calculate the magnitude (in N) and direction of the force (in degrees counterciockwise from the…

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Q: Two astronauts (figure), each having a mass of 80.0 kg, are connected by a  d = 11.0-m  rope of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the center of mass of a quarter of a spherical shell of radius "a" shown in the figure.

A: given image:

Q: The center of gravity coincides with the center of mass:

A: Center of mass is the point where mass distribution of the object equal in all directions, and it…

Q: Describe about locating the center of mass of a symmetric object.

A: Center of Mass: It is the average position of all the parts of a body/system, weighted according to…

Q: Under what conditions, is linear momentum conserved? Check all that apply. There are no frictional…

A: To determine Conditions when linear momentum is conserved

Q: ff mass of emply pan ip Helde's expt is (mo) when (m₁) mass is kept in it, the numbee. of loops are…

A: We need to find-Mass of pan interms of given quantities.The data given as-Mass of empty…

Q: Find the center of mass for a quarter of a spherical shell of radius "a" shown in the figure

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Q: An air puck of mass 0.223 kg is tied to a string and allowed to revolve in a circle of radius 0.73 m…

A: The centripetal force balances weight of the suspended mass, hence the suspended mass remains in…

Q: We have a heavy fireworks petard explodes with high energy at the peak of its parabolic trajectory.…

A: To determine  Trajectory  of center of mass after explosion

Q: So the linear velocity of an object that is dropped from a height of 1.0 m in free fall is 4.43…

A: We need to compare the free fall motion with the rotational motion of a meter stick.

Q: Find center of mass of a solid hemisphere of constant and variable density

A: For constant: Let a solid hemisphere of mass M and radius R.   Let an elemental disc at a height h…

Q: A massless rod of length B is pivoted at its center so that it can rotate in the hum plane. Two ants…

A: Given:mass of the ant 1=m1mass of the ant 2=m2angular velocity of the rod=ωoVariation of the…

Q: A cube measuring bxbxb with a mass, m lies on a horzontal flat surface. The cube is subjected to the…

A: Considering the body to at rest initially ,initial velocity of the body will v1 = 0When an impulse L…

Q: If an object collapses to a black hole, [problem 9-99 for student then the escape velocity at the…

A: Given: The mass is 4.1 times the mass of the sun.             The escape velocity at the surface of…

Q: A vehicle is travelling along concave road then along convex road of same radius of curvatures at…

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Q: You have two objects connected by a light bar, one object is 40 kg, the other is 60 kg.The center of…

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Q: Disks A and B have a mass of 15 kg and 10 kg, respectively. If they are sliding on a smooth…

A: Given: The masses of Disks A and B are 15 kg and 10 kg respectively. The coefficient of restitution…

Q: Two particles of mass 5 kg and10 kg respectively are attached to the two ends of a rigid rod of…

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Q: hree forces of differ ank, making it acce

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Q: #8. A rod of length 30.0 cm has linear density (mass per length) given by a = 50.0 + 20.0x where x…

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Q: The length of a rod is 9 in. and the linear density of the rod at a point ? inches  from one end is…

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Q: Give the location of centre of mass of a (i) sphere (ii) ring

A: Centre of mass of sphere and ring lies at their geometric centers.

Q: Four beads, each of mass m = 1 kg, are attached at various 1 kg, and radius R= 1 m (see figure).…

A: Determine the co-ordinates of the beads of the masses using trigonometrical identities relation with…

Q: Determine the shuttle's angular velocity 3 s later. Enter the x, y, and z components of the angular…

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Q: A weight of 1 kg is with a rigid light bar, which is 0.5 m long hung on horizontal axis. Also in the…

A: As no external force is involved during collision ,so linear momentum remains conserved .

Q: Is angular momentum completely analogous to linear momentum? What, if any, are their differences?

A: Given:  linear and angular momentum