Advertisements
Advertisements
Question
A faulty balance of unequal arms and pans of unequal weights is used to find the true weight of a metal. By double weighing the weights are found to be 1210 g and 1000 g. Calculate the true weight of the metal.
Solution
(mL + 1210) x = (mR + mo) y ..............(1)
(mL + m0) x = (mR + 1000) y .............(2)
mL x = mR y ..............(3)
Equations when the two pans are empty from (1)
mL x + 1210 x = mR y + mo y
⇒ 1210 x = mo y ...............(4) (using 3)
from (2)
mL + mo x = mR + 1000 y
⇒ mo x = 1000 y ................(5) (using 3)
dividing equation (4) & (5)
`"m"_"o"/1000 = 1210/"m"_"o"`
⇒ mO = `sqrt (1210 xx1000)` = 1100 g
APPEARS IN
RELATED QUESTIONS
State the condition when a body is in dynamic equilibrium.
State two condition for a body acted upon by several forces to be in equilibrium.
The figure shows a uniform metre rule placed on a fulcrum at its mid-point O and having a weight 40 gf at the 10 cm mark and a weight of 20 gf at the 90 cm mark.
- Is the metre rule in equilibrium? If not how will the rule turn?
- How can the rule be brought in equilibrium by using an additional weight of 40 gf?
Give scientific reason for the following:
When a man climbs a slope he bends forward.
Give scientific reason for the following:
In a moving bus the standing passenger stands keeping both his legs apart.
The moon revolving around the earth is in ______ equilibrium.
Explain why It is easier to knock down a boy who is standing on one foot than one who is standing on two.
What is the weight of a body placed at the centre of the earth?
When a stone tied to a string is rotated in a horizontal plane, the tension in the string provides ______ force necessary for circular motion.
A non uniform beam of weight 120 N pivoted at one end is shown in the diagram below. Calculate the value of F to keep the beam in equilibrium.
