Respuesta :

If the cat has a mass of 2.9 kg, 1.8m far to the right of sawhorse B can it walk before the plank.

plank will tip when the weight of the cat about B is greater than the torque by the weight of the plank.

mg[tex]d_{2}[/tex] = mg[tex]d_{1}[/tex]

Rearrange for [tex]d_{2}\\[/tex].

[tex]d_{2}[/tex] = [tex]\frac{Mgd_{1}}{mg}[/tex]

[tex]d_{2}[/tex] = [tex]\frac{Md_{1}}{m}[/tex]

   = [tex]\frac{(6.00kg)(0.85)}{2.9kg}[/tex] = [tex]1.758m[/tex]

[tex]d_{2}[/tex] ≈ 1.8m

Mass is the amount of matter in a bodily frame. it's also a measure of the body's inertia, the resistance to acceleration (alternate of speed) while a net force is carried out. An item's mass additionally determines the electricity of its gravitational enchantment to different bodies.

In physics, mass is not similar to weight, even though mass is regularly decided by way of measuring the object's weight with the usage of a spring scale, instead of a stability scale evaluating it immediately with regarded masses.

An object on the Moon could weigh much less than it does in the world because of the decreased gravity, but it would nevertheless have the same mass. that is because weight is a force, at the same time as mass is the belongings that (alongside gravity) determine the electricity of this pressure.

The worldwide gadget of units (SI) unit of mass is the kilogram (kg). The kilogram is 1000 grams (g) and turned into first described in 1795 because of the mass of 1 cubic decimetre of water on the melting factor of ice. however, because the precise size of a cubic decimetre of water at the required temperature and strain changed into tough, in 1889 the kilogram was redefined because the mass of a metallic object

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Complete Question:

A cat walks along a plank with a mass of M= 6.00 kg. The plank is supported by two sawhorses. The center of mass of the plank is a distance d1= 0.850 m to the left of sawhorse B. When the cat is a distance d2= 1.11 m to the right of sawhorse B, the plank just begins to tip.

If the cat has a mass of 2.9 kg, how far to the right of sawhorse B can it walk before the plank begins to tip?