Answer:
the mass should be bring closer to the point about which we are finding torque
Explanation:
τ = Σr × F = rmg
where m is the mass, g is acceleration due to gravity, and r is the distance
Torque is directly proportional to -
1.mass, m , of object
2. distance, r, of the mass from the point about which we are finding the torque.
So if we increase or decrease them then the torque will also increase or decrease.
So if we increase the mass the torque will increase but since we have to maintain same torque therefore we have to decrease the distance of mass from the point about which we are finding torque.
Therefore the mass should be bring closer to the point about which we are finding torque.
Answer:
the required value is 
Explanation:
Given that,
mass, m = 1kg
spring constant k = 21N/M
damping force = 

By Newtons second law ,
The diffrential equation of motion with damping is given by

substitute the value of m =1kg, k = 21N/M, and 


suppose the equation of the form
,
and the auxilliary equation is given by

The general solution for the above differential equation is

Derivate with respect to t

(a)
since time is 0 then mass is one meter below
so x(0) = 1
Also it start from rest , that implies , velocity is 0 and time is 0

substitute the initial condition


Solve the above equation to get C₁ and C₂

substitute for C₁ and C₂ in general solution

Thus the required value is 
Answer:
(a) 91 kg (2 s.f.) (b) 22 m
Explanation:
Since it is stated that a constant horizontal force is applied to the block of ice, we know that the block of ice travels with a constant acceleration and but not with a constant velocity.
(a)

Subsequently,

*Note that the equations used above assume constant acceleration is being applied to the system. However, in the case of non-uniform motion, these equations will no longer be valid and in turn, calculus will be used to analyze such motions.
(b) To find the final velocity of the ice block at the end of the first 5 seconds,

According to Newton's First Law which states objects will remain at rest
or in uniform motion (moving at constant velocity) unless acted upon by
an external force. Hence, the block of ice by the end of the first 5
seconds, experiences no acceleration (a = 0) but travels with a constant
velocity of 4.4
.

Therefore, the ice block traveled 22 m in the next 5 seconds after the
worker stops pushing it.