What happens to the moment of inertia of a cylinder if we half its mass and double its radius? Enter a number that expresses the new inertia in terms of the old
Assuming your question is about solid cylinder
The Moment of Inertial of cylinder with Mass M and Radius R along its axis is given by
Let initial Moment of Inertia be I0
Now Mass is reduced to half and Radius is doubled
Let new Moment of inertia be Inew
What happens to the moment of inertia of a cylinder if we half its mass and...
Moment of Inertia or Rotational Inertia. A solid cylinder has mass 25kg with radius 60 cm (a) Find its moment of inertia. (b) if the cylinder has a linear speed is 7.7ms, what is the magnitude of the angular momentum of the cylinder? (b) If the cylinder has a linear speed is 7.7m/s, what is the magnitude of the rotational kinetic energy of the cylinder?
2. Calculate the moment of inertia for a solid cylinder with a mass of 100g and a radius of 4.0 cm.
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.480 kg. Calculate its moment of inertia about its center.
Physics moment of inertia of the cylinder A string wound around a cylinder of 18.3 cm radius has a 175 gram mass attached. When released, the mass accelerates at 538 cm/s^2. What is the angular acceleration of the system? What is the moment of inertia of the cylinder? Please show detailed calculation.
A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling (Figure 1) . The cylinder's vertical position as a function of time is y(t).At time t=0 the cylinder is released from rest at a height h above the ground.Part BIn similar problems involving rotating bodies, you will often also need the relationship between angular acceleration, ?, and linear acceleration, a. Find...
The cylinder has radiuw r=0.6m and mass m=47kg Determine the mass moment of inertia in kg · m2 and the radius of gyration in millimeters of the cylinder about an axis through point O directed perpendicular to the plane of the page 1. +-33.33 points NorEngstatics1 8.P.098. The cylinder has radius r 0.6 m and mass m 47 kg. m 2 and the radius of gyration in meters o Determine the mass moment of inertia in of the cylinder about...
The moment of inertia of a cylinder of mass m, radius a, length l, about its axis is given by 3ma2/5. This cylinder is rolling with speed V on a rough horizontal plane and the coefficient of friction between the cylinder and the plane is u. A constant braking couple of magnitude 11umag/5 is applied to the cylinder at time t= 0 and is maintained. Show that the cylinder skids immediately. Show also that the cylinder will instantaneously cease to...
A cylinder has with some volume and some mass and then we double its radius (while height and mass remain unchanged). What is its new density?
Determine the moment of inertia of the half-ring of mass m about its diametral axis a-a and about axis b-b through the midpoint of the arc normal to the plane of the ring. The radius of the circular cross section is small compared with r. Use the values m = 7.0 kg and r = 300 mm. m Answers: laa kg.m2 Ibb = kg.m2
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...