Answer:
The shearing stress is 10208.3333 Pa
The shearing strain is 0.25
The shear modulus is 40833.3332 Pa
Explanation:
Given:
Block of gelatin of 120 mm x 120 mm by 40 mm
F = force = 49 N
Displacement = 10 mm
Questions: Find the shear modulus, Sm = ?, shearing stress, Ss = ?, shearing strain, SS = ?
The shearing stress is defined as the force applied to the block over the projected area, first, it is necessary to calculate the area:
A = 40*120 = 4800 mm² = 0.0048 m²
The shearing stress:
The shearing strain is defined as the tangent of the displacement that the block over its length:
Finally, the shear modulus is the division of the shearing stress over the shearing strain:
If the mass of one object is doubled, the force between these objects will also double.
Force refers to an external agent which is capable of changing the state of a body which may be at rest or in motion.
Force F = G(mM/d^2) (where m is the mass of first object, M is the mass of the second object and G is the gravitational pull and d is the distance between the two objects)
The force between two objects (m1 and m2) (according to the universal law of gravitation) is proportional to their mass and reciprocally proportional to the square of their separation between them.
So F' = G(2mM/d^2),
which means F'=2F
Therefore, the when the mass is doubled, the force also doubles.
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Answer:
Explanation:
<u>Net Force
</u>
The second Newton's law explains how to understand the dynamics of a system where several forces are acting. The forces are vectorial magnitudes which means the x and y coordinates must be treated separately. For each component, the net force must equal the mass by the acceleration, i.e.
The box with mass m=20 kg is pulled by a rope with a angle above the horizontal. It means that force (called T) has two components:
We'll assume the positive directions are to the right and upwards and that the box is being pulled to the right. There are two forces in the x-axis: The x-component of T (to the right) and the friction force (to the left). So the equilibrium equation for x is
There are three forces acting in the y-axis: The component of T (upwards), the weight (downwards), and the Normal (upwards). Since there is no movement in the y-axis, the net force is zero and:
Rearranging:
Solving for N in the y-axis:
The friction force is given by
Replacing in the equation for the x-axis, we have
Replacing the formula for N in the equation for the x-axis
Operating and rearranging
Solving for T:
Plugging in the given values:
The answer is A) because knowing Net force is equal too mass * acceleration, we can sub in what is given, the net force here would be 5N so the equation the looks like 5N=10kg*a and then dividing out 10kg we are then left with .5 m/s^2
If this is a long straight wire, then you probably mean:
B = μ₀I/(2πd)