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Physics-

General

Easy

Question

A uniform hollow sphere is released from the top of a fixed inclined plane of inclination $37 to the power of ring operator end exponent$ and height 3m. It rolls without sliding. The acceleration of the centre of mass of the hollow sphere is

$\frac{30}{7} m / s^{2}$
$\frac{18}{5} m / s^{2}$
$\frac{9}{5} m / s^{2}$
$\frac{15}{7} m / s^{2}$

The correct answer is: $fraction numerator 18 over denominator 5 end fraction m divided by s to the power of 2 end exponent$

$a equals fraction numerator g s i n invisible function application theta over denominator 1 plus fraction numerator K to the power of 2 end exponent over denominator R to the power of 2 end exponent end fraction end fraction equals fraction numerator left parenthesis 10 right parenthesis left parenthesis 3 divided by 5 right parenthesis over denominator 1 plus fraction numerator 2 over denominator 3 end fraction end fraction equals fraction numerator 18 over denominator 5 end fraction m s to the power of negative 2 end exponent$

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A mouse, searching for food, jumped onto the rim of a stationary circular disk mounted on a vertical axle. The disk is free to rotate without friction. The velocity of the mouse was tangent to the edge of the disk before it landed. When the mouse landed, it gripped the surface, remained fixed on the outer edge of the disk at a distance R from the center, and set it into rotation. The sketch indicates the situation The mass of the mouse is m = 0.10 kg, the radius of the disk is R = 0.20 m, and the rotational inertia of the disk is I = 0.0080 kg· $m to the power of 2 end exponent$ . The speed of the mouse, just before it landed on the disk is $V subscript O end subscript$ = 1.5 m/s. The mouse, still searching for food, crept to the center of the disk (where r = 0). Find angular velocity of the disk plus mouse, when the mouse was at the center of the disk.

A mouse, searching for food, jumped onto the rim of a stationary circular disk mounted on a vertical axle. The disk is free to rotate without friction. The velocity of the mouse was tangent to the edge of the disk before it landed. When the mouse landed, it gripped the surface, remained fixed on the outer edge of the disk at a distance R from the center, and set it into rotation. The sketch indicates the situation The mass of the mouse is m = 0.10 kg, the radius of the disk is R = 0.20 m, and the rotational inertia of the disk is I = 0.0080 kg· $m to the power of 2 end exponent$ . The speed of the mouse, just before it landed on the disk is $V subscript O end subscript$ = 1.5 m/s. The mouse, still searching for food, crept to the center of the disk (where r = 0). Find angular velocity of the disk plus mouse, when the mouse was at the center of the disk.

physics-General

A mouse, searching for food, jumped onto the rim of a stationary circular disk mounted on a vertical axle. The disk is free to rotate without friction. The velocity of the mouse was tangent to the edge of the disk before it landed. When the mouse landed, it gripped the surface, remained fixed on the outer edge of the disk at a distance R from the center, and set it into rotation. The sketch indicates the situation The mass of the mouse is m = 0.10 kg, the radius of the disk is R = 0.20 m, and the rotational inertia of the disk is I = 0.0080 kg· $m to the power of 2 end exponent$ The speed of the mouse, just before it landed on the disk is $V subscript O end subscript$ = 1.5 m/s. Find the magnitude of the impulse received by the mouse as it landed on the disk.

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physics-General

A mouse, searching for food, jumped onto the rim of a stationary circular disk mounted on a vertical axle. The disk is free to rotate without friction. The velocity of the mouse was tangent to the edge of the disk before it landed. When the mouse landed, it gripped the surface, remained fixed on the outer edge of the disk at a distance R from the center, and set it into rotation. The sketch indicates the situation The mass of the mouse is m = 0.10 kg, the radius of the disk is R = 0.20 m, and the rotational inertia of the disk is I = 0.0080 kg· $m to the power of 2 end exponent$ The speed of the mouse, just before it landed on the disk is $V subscript O end subscript$ = 1.5 m/s. Magnitude of the angular velocity of the disk plus mouse, after it landed becomes

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