This document discusses team building and leadership through a case study of a mining industry. It explains that a mine manager must lead various sub-teams effectively and efficiently to produce coal safely and achieve targets. The manager delegates work to sub-team leaders and grooms team members to take independent decisions. It presents a mathematical model showing that the strength of a team is maximized when all sub-teams apply their individual strengths in a united, pre-decided direction, like the maximum force generated by fingers of a closed fist. Only a good leader who coordinates all efforts can extract the best from a team and ensure progress towards goals.

1. TEAM BUILDING
&
LEADERSHIP :-
:-A CASE STUDY
History has seen many great leaders. Mahatma Gandhi had the power to finish an
entire dynasty by simply inspiring people not to react violently, while Adolph Hitler
had the power to finish entire races by inspiring people to react exactly opposite –
violently. They both are known for the command they had over their followers. But
they followed different forms of leadership.

2. ABSTRCT
In our professional lives, many of us aim to lead a large team with prestigious responsibilities. For making a
team productive, just being a boss is often not good enough. You have to learn to be a good leader.
Only a good leader can extract the maximum from his work force and help them grow.
Mining Industry is a manpower based industry. Works are shared by different sub-groups or
sub-teams like Mining (or excavation), Electrical & Mechanical etc. and which are led by the sub-team
leaders like Asst. Managers (for mining), Exec. Engineers (for E & M). Overall mine is led by the Mine
Manager. We can say this a Leader of whole system (i.e. Mine), who is sole responsible for leading the sub-
teams effectively and efficiently. Our main aim is to produce coal effectively, efficiently and safely.
Effectively means achieving our Target or Goal and efficiently means economically and also safely means
not at the cost of any life. Hence, a Mine Manager has vast responsibility to lead the team
Some leaders make the mistake of keeping all the controls of the work that their team performs with them.
Managers must learn to delegate work, else they can never grow. They must groom team members to
function independently and take decisions on smaller pies of the whole task. Thus you can encourage
people by giving them more power, and at the same time, freeing your time to take larger strategic step from
the growth of your team.
Sub- teams or team members (for small team) are strengths ( or forces), which are applied to achieve the
Target or Goal. The direction of application of these strengths or forces is controlled by the Team Leader or
Manager. It means the Strengths ( or Forces) of sub- teams or Team –members should be applied united in
such a direction that the resultant of these strengths is maximum and our Target becomes easy.
For example – a single finger of a hand has no importance unless all fingers of the hand are united and
maximum strength or force of fist appears when all fingers apply their individual strength united in pre-
decided direction.
The author is going to explain this concept mathematically in subsequent pages.

3. Mathematical Model of an
Ideal Team Work
Sub-
Team FE
`E`
Sub-
Team FD
`D`
TEAM Sub-
Team FC
WORK `C` F
AIMLESS Sub-
Team FB
`B`
Sub-
Team FA
`A`
DAMAGE AIM OR GOAL
Sub- Team `A` = A small team or an individual member having strength or capacity `FA`
Sub- Team `B`= A small team or an individual member having strength or capacity `FB`
Sub- Team `C` = A small team or an individual member having strength or capacity `FC`
Sub- Team `D` = A small team or an individual member having strength or capacity `FD`
Sub- Team `E`= A small team or an individual member having strength or capacity `FE`

4. Mathematical model of a Actual Team
Work in Practice
FD
FC
FE Sub-
Team Sub-
Team FB
`D`
Sub- `C`
Team Sub-
`E` Team
θ2
`B`
θ3 θ1
AIMLESS
TEAM Sub-
Team FA
WORK `A`
DAMAGE AIM OR GOAL
Sub- Team `A` = A small team or an individual member having strength or capacity `FA`
Sub- Team `B`= A small team or an individual member having strength or capacity `FB`
Sub- Team `C` = A small team or an individual member having strength or capacity `FC`
Sub- Team `D` = A small team or an individual member having strength or capacity `FD`
Sub- Team `E`= A small team or an individual member having strength or capacity `FE`

5. Solving the above mathematical concept
Sub-Team
`E`
Sub-Team
`C`
Sub-Team
`B`
Sub-
Team
`D`
Sub-Team
AIMLESS `E`
TEAM Sub- Sub-Team
`B`
Sub-Team
`C`
Team
WORK `A`
DAMAGE AIM OR GOAL

6. THE EFFORTS APPLIED BY THE SUB-TEANS AS INDICATED ABOVE CAN BE
WRITTEN IN ALGEBRIC FORM
•
FE
FC
FB
AIMLESS
FD
FA FB
FE FC
AIM OR GOAL
DAMAGE

7. RESULTANT OF ABOVE MENTIONED ALGEBRIC FORM
F
TEAM
WORK
AIMLESS
AIM OR GOAL
TEAM
WORK F
AIM OR GOAL

8. Quality of a good Leader
• Co-operation with team members for better result.
• Taking care of personal problems of team members.
• Time to listen team members i.e., tow way communication
between leader and team members.
• You make to realise that you are always with team
members.