TG EAMCET 3 May 2025 Shift 2 Paper

(unknown weight x ) on the plate at the 100 cm end.
Step 2: Calculating Clockwise Torque
The things making a clockwise turning effect (torque) around the pivot at 45 cm are:
The 200 g plate at 100 cm , which is 55 cm from the pivot (100−45=55),
The vegetable weight (x) on this plate, also 55 cm from pivot, 50−45=5cm, but the calculation uses 5 cm for the rest mass).
So,
Clockwise torque 200×55+x×55+100×5
=11,500+55x
Step 3: Calculating Anticlockwise Torque
The things making an anticlockwise torque are:
The 200 g plate at 0cm,45cm away from pivot,
The 300 g weight at 0cm,45cm away from pivot.
So,
Anticlockwise torque 200×45+300×45
=9,000+13,500=22,500
Step 4: Setting Torques Equal (Balance)
For balance, clockwise torque = anticlockwise torque.
11,500+55x‌=22,500
55x‌=22,500−11,500=11,000
x‌=‌

11,000

55

=200g
So, the actual mass of the vegetables is 200 g .

Step 5: Calculate the Error
The balance shows 300 g (apparent weight), but the real weight is 200 g (actual weight).
‌ Error ‌=300−200=100g