A sphere weighs 1200N. It is supported by two planes at 35 degree & 50 degree to the horizontal respectively. Calculate the support reaction.
Patil ashwini kalyan
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A sphere weighs 1200N. It is supported by two planes at 35 degree & 50 degree to the horizontal respectively. Calculate the support reaction..... Solve this question
Ra= 922.70N Rb= 690.22N
To calculate the support reaction, we need to break down the weight of the sphere into its vertical and horizontal components on each plane.
Step 1: Find the vertical component of the weight
The vertical component of the weight of the sphere can be calculated using the formula:
Vertical component = weight * cos(angle)
Vertical component on the first plane (35 degrees):
Vertical component 1 = 1200 N * cos(35)
Vertical component on the second plane (50 degrees):
Vertical component 2 = 1200 N * cos(50)
Step 2: Find the horizontal component of the weight
The horizontal component of the weight of the sphere can be calculated using the formula:
Horizontal component = weight * sin(angle)
Horizontal component on the first plane (35 degrees):
Horizontal component 1 = 1200 N * sin(35)
Horizontal component on the second plane (50 degrees):
Horizontal component 2 = 1200 N * sin(50)
Step 3: Calculate the support reaction
The support reaction is the sum of all the vertical components of the weight on each plane.
Support reaction = Vertical component 1 + Vertical component 2
Once we calculate the support reaction, we can provide the final answer.