The beam supports the triangular distributed load shown below with $w_{\text{m}\text{a}\text{x}}=960lb/$ft$.$ The reactions at A and $B$ are vertical. $($Figure $1)$

Part A

Determine the magnitude of the resultant internal normal force on the cross section at point $C.$

Nc$=\_\_\_\_\_\_\_$kip

Part B

Determine the magnitude of the resultant internal shear force on the cross section at point $C.$

Vc$=\_\_\_\_\_\_$kip

Part C

Determine the magnitude of the resultant internal bending moment on the cross section at point $C.$

Mc$=\_\_\_\_\_\_\_$kip