Forces in Equilibrium on the Ball

Steps:

• Identify forces: weight (mg downward), tension T_cable (upward along cable), tension T_chain (along chain direction).
• Apply equilibrium condition: vector sum T_cable + T_chain + mg = 0.
• Vectors must form closed triangle, with mg vertical down, T_cable vertical up, T_chain at angle to balance horizontal/vertical components.
• Select diagram where tensions oppose weight to sum to zero.

Why A is correct:

• Shows closed vector triangle per Newton's first law, with T_chain angled to cancel horizontal component while T_cable and T_chain together balance vertical weight.

Why the others are wrong:

• B: Vectors do not close, violating equilibrium (net force nonzero).
• C: T_chain direction incorrect, failing to oppose cable's pull properly.
• D: Omits or misaligns one tension, ignoring full force balance.

Final answer: A