Learn steps to identify radius of curvature and tangential force formula, practice to calculate the centripetal force by taking components along radial direction equation & centripetal acceleration of the body.
Step 1- Identify the circle and its plane.
For example : A car moving on a bent road.
Step 2- Locate the center of the circle.
Step 3- The line joining the center and the periphery is known as the radius of curvature.
A \(PQ\)
B \(PR\)
C \(QR\)
D \(PS\)
For example
Resolve forces along radial direction only.
A \(T\,sin\,\theta\)
B \(T\,cos\,\theta\)
C \(mg\,cos\,\theta\)
D \(mg\,sin\,\theta\)
In circular motion, centripetal force is the net radial force directed towards center.
For example
Consider a round table, whose top is rotating.
A block is placed on the edge of the table.
\(FBD\) of the block
\(a_c=\dfrac{F_c}{m}\)
A \(4\,m/s^2\)
B \(3\,m/s^2\)
C \(6\,m/s^2\)
D \(2\,m/s^2\)
In circular motion, centripetal force is the net radial force directed towards center.
For example
\(FBD\) of the block
\(a_c=\dfrac{F_c}{m}\)
A \(10\,N\)
B \(20\,N\)
C \(30\,N\)
D \(40\,N\)
In circular motion, centripetal force is the net radial force directed towards center.
For example
\(FBD\) of the block
\(a_c=\dfrac{F_c}{m}\)
A \(3\,N\)
B \(6\,N\)
C \(4\,N\)
D \(10\,N\)