'In the figure below, wheel of radius 0.25 m is mounted on a frictionless horizontal axle_ A massless cord is wrapped around the wheel and attached to a 2.0 kg box that slides on a frictionless surface inclined at angle 0 = 150 with the horizontal. The box accelerates down the surface at 2.1 m/s?, What is the rotational inertia of the wheel about the axle? kg m2'
Added by Jaime R.
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0 \, \text{kg} \) (mass of the box), \( g = 9.81 \, \text{m/s}^2 \) (acceleration due to gravity), \( \theta = 15^\circ \) (angle of inclination), \( T \) (tension in the rope), \( a = 2.1 \, \text{m/s}^2 \) (acceleration of the box). Show more…
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In Fig. $10-55,$ a wheel of radius 0.20 $\mathrm{m}$ is mounted on a frictionless horizontal axle. A massless cord is wrapped around the wheel and attached to a 2.0 $\mathrm{kg}$ box that slides on a frictionless surface inclined at angle $\theta=20^{\circ}$ with the horizontal. The box accelerates down the surface at 2.0 $\mathrm{m} / \mathrm{s}^{2} .$ What is the rotational inertia of the wheel about the axle?
Timothy J.
In Fig. $10-19 a$, a wheel of radius $0.20 \mathrm{~m}$ is mounted on a frictionless horizontal axis The rotational inertia of the wheel about the axis is $0.40 \mathrm{~kg} \cdot \mathrm{m}^{2}$. A massless cord wrapped around the wheel's circumference is attached to a $6.0 \mathrm{~kg}$ box. The system is released from rest. When the box has a kinetic energy of $6.0 \mathrm{~J}$, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen?
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