Abar weighs 8n and is 5m in length. what is the weight needed (m) to balance the bar? remember to include the weight of the bar.

diagram attached.
can you show your workings, !

M = 8.5 N

Explanation:

Given:

Weight of the bar acting at the center is,

Position of the fulcrum is 3 m from the left end.

Length of the bar is 5 m.

Weights on the right side of the fulcrum are 8 N and 'M' N. Weights on the left side of the fulcrum are 7 N and weight W of the bar itself.

Now, in order to balance the bar at the fulcrum, the sum of clockwise moments must be equal to sum of anticlockwise moments.

The forces on the right causes clockwise moments and forces on the left causes anticlockwise moments.

Moment of a force is given as the product of force and perpendicular distance between force and fulcrum.

Sum of clockwise moments =

Sum of anticlockwise moments =

Now, sum of clockwise moments = sum of anticlockwise moments

So, the unknown weight to balance the bar is 8.5 N.

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this