Answer:

Explanation:
Let 'F₁' and 'F₂' be the forces applied by left and right wires on the bar as shown in the diagram below.
Now, the horizontal and vertical components of these forces are:

As the system is in equilibrium, the net force in x and y directions is 0 and net torque about any point is also 0. Therefore,

Now, let us find the net torque about a point 'P' that is just above the center of mass at the upper edge of the bar.
At point 'P', there are no torques exerted by the F₁x and F₂x nor the weight of the bar as they all lie along the axis of rotation.
Therefore, the net torque by the forces
will be zero. This gives,

But, 
Therefore,


We know,

∴
W = ∫ (x from 0.1 to +oo) F dx
= ∫ (x from 0.1 to +oo) A e^(-kx) dx
= A/k x [ - e^(-kx) ](between 0.1 and +oo)
= A/k x [ 0 + e^(-k * 0.1) ]
<span>
= A/k x e^(-k/10) </span>
The magnitude of the component of the box’s weight
perpendicular to the incline can be olve using the formula:
F = wcos(a)
Where F is the box’s weight perpendicular to the incline
W is the weight of the box
A is the angle of the incline
F = (46)cos(25)
F = 42 N
Answer:
Explanation:
Given







acceleration of object


(b)For maximum positive displacement velocity must be zero at that instant
i.e.


substitute the value of t


Answer:
The angular speed after 6s is
.
Explanation:
The equation

relates the moment of inertia
of a rigid body, and its angular acceleration
, with the force applied
at a distance
from the axis of rotation.
In our case, the force applied is
, at a distance
, to a ring with the moment of inertia of
; therefore, the angular acceleration is



Therefore, the angular speed
which is

after 6 seconds is

