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Rolling Motion Up and Down an Incline (a) A rolling (without slipping) hoop with a radius...
Consider a hoop of radius R and mass M rolling without slipping. Which form of its...
Consider a hoop of
radius R and mass M rolling without slipping.
Which form of its kinetic energy is larger, translational or
rotational?
A. Its translational
kinetic energy is larger than its rotational kinetic energy.
B. Its rotational
kinetic energy is larger than its translational kinetic energy.
C. Both will have the
same value
D. You need to know
the R of the hoop
E. You need to know
the M of the hoop
anillo "hoop"
A hoop with mass, M, and radius, R, rolls along a level surface without slipping with...
A hoop with mass, M, and radius, R, rolls along a level surface without slipping with a linear speed, v. What is the ratio of rotational to linear kinetic energy? (For a hoop, I = MR2.)
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.A) Calculate its translational speed when it reaches the bottom.B) Calculate its rotational speed when it reaches the bottom. C) What is the ratio of translational to rotational kinetic energy at the bottom? D) Avoid putting in numbers until the end so you can answer: do your...
Some curious students hold a rolling race by rolling four items down a steep hill. The...
Some curious students hold a rolling race by rolling four items down a steep hill. The four items are a solid homogeneous sphere, a thin spherical shell, a solid homogeneous cylinder and a hoop with all its mass concentrated on the hoop's perimeter. All of the objects have the same mass and start from rest. Assume that the objects roll without slipping and that air resistance and rolling resistance are negligible. For each statement below, select True or False. a)...
Q10 A hollow sphere and a hoop of the same mass and radius are released at...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
A hollow sphere of 2.307 kg mass is rolling down an incline without slipping. It starts...
A hollow sphere of 2.307 kg mass is rolling down an incline without slipping. It starts from rest at a vertical height of 50 cm above the bottom. The sphere has a radius of 10 cm. What is the translational speed of the sphere, in m/s, at the bottom? The moment of inertia of a hollow sphere is 2/3mr^2. A. 0.85 B. 1 C. 2.2 D. 2.4 E. 2.6
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. Calculate its translational speed when it reaches the bottom. Calculate its rotational speed when it reaches the bottom. What is the ratio of translational to rotational kinetic energy at the bottom?
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure.
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
Consider a hoop of
radius R and mass M rolling without slipping.
Which form of its kinetic energy is larger, translational or
rotational?
A. Its translational
kinetic energy is larger than its rotational kinetic energy.
B. Its rotational
kinetic energy is larger than its translational kinetic energy.
C. Both will have the
same value
D. You need to know
the R of the hoop
E. You need to know
the M of the hoop
anillo "hoop"
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
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