A wheel of radius 0.20 m is mounted on a frictionless horizontal axis (see figure below). The rotational inertia of the wheel about the axis is 0.05 kg.m^2. A massless cord wrapped around the wheel about the axis is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If the horizontal force of magnitude F = 5.0N is applied to the block as shown in the Figure below, what is the magnitude of angular acceleration of the wheel? Assume the string does not slip on the wheel.
Added by Carla P.
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Step 1
First, we need to find the torque acting on the wheel due to the force F applied on the block. Since the radius of the wheel is 0.20 m, the torque τ can be calculated as: τ = F × r τ = 10 N × 0.20 m τ = 2 Nm Show more…
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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 $0.050 \mathrm{~kg} \cdot \mathrm{m}^{2}$. A massless cord wrapped around the wheel is attached to a $2.0 \mathrm{~kg}$ block that slides on a horizontal frictionless surface. If a horizontal force of magnitude $P=3.0 \mathrm{~N}$ is applied to the block as shown in Fig. $10-56$, what is the magnitude of the angular acceleration of the wheel? Assume the cord does not slip on the wheel.
A wheel of radius 0.20 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm2. A massless cord wrapped around the wheel is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P=3.0 N is applied to the block , what is the magnitude of the angular acceleration of the wheel? Assume the cord does not slip on the wheel.
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Wheel on a Frictionless Axis 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 $0.050 \mathrm{~kg} \cdot \mathrm{m}^{2} .$ A massless cord wrapped around the wheel is attached to a $2.0 \mathrm{~kg}$ block that slides on a horizontal frictionless surface. If a horizontal force of magnitude $P=$ $3.0 \mathrm{~N}$ is applied to the block as shown in Fig. $11-35$, what is the magnitude of the rotational acceleration of the wheel? Assume that the string does not slip on the wheel.
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