Answer:
D Any of the above depending on the directions of forces.
Explanation:
The net force on the box depends on the direction of the forces.
For example, we have three special cases:
- If the two forces are in the same direction, they add to each other, so the net force is
F = 10 N + 10 N = 20 N
- If the two forces are in opposite directions, the net force is given by the difference between the two forces, so
F = 10 N - 10 N = 0 N
- If the two forces are perpendicular to each other, their resultant is given by the Pythagorean theorem:
If the two forces are at any other angle, their resultant can be found by resolving each force along the x- and y- direction, and adding the components along each direction. The resultant net force will have a magnitude between 0 N and 20 N.
Answer
given,
L(t) = 10 - 3.5 t
mass of particle = 2 Kg
radius of the circle = 3.1 m
a) torque
τ =
τ =
τ = -3.5 N.m
Particle rotates clockwise as i look down the plane. Hence, its angular velocity is downward.
L decreases the angular acceleration upward. so, net torque is upward.
b) Moment of inertia of the particle
I = m R^2
I = 2 x 3.1²
I = 19.22 kg.m²
L = I ω
ω =
ω =
ω =
A = 0.52 rad/s B = -0.182 rad/s²
1) The average velocity is
2) The instantaneous velocity is
Explanation:
1)
The average velocity of an object is given by
where
d is the displacement
t is the time elapsed
In this problem, the position of the particle is given by the function
where t is the time.
The position of the particle at time t = 6 sec is
While the position at time t = 12 sec is
So, the displacement is
And therefore the average velocity is
2)
The instantaneous velocity of a particle is given by the derivative of the position vector.
The position vector is
By differentiating with respect to t, we find the velocity vector:
Therefore, the instantaaneous velocity at any time t can be found by substituting the value of t in this expression.
Learn more about velocity:
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