BA1401 Statics PDF Past Paper

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ResilientRoseQuartz5346

Uploaded by ResilientRoseQuartz5346

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statics engineering mechanics physics force calculations

Summary

This document is a collection of questions on statics, part of a BA1401 course. The questions involve calculating resultant forces and their directions for given forces. Diagrams of mechanical parts are included in the problem statements.

Full Transcript

# BA1401 Statics ## Sheet 1 ### Q 01 Determine the magnitude of the resultant force acting on the corbel and its direction measured counterclockwise from the x axis. * $F_3 = 600 \text{ lb}$ * $F_2 = 400 \text{ lb}$ * $F_1 = 700 \text{ lb}$ $F_R = 1254.4$ $\theta = 258.7°$ ### Q 02 Deter...

# BA1401 Statics ## Sheet 1 ### Q 01 Determine the magnitude of the resultant force acting on the corbel and its direction measured counterclockwise from the x axis. * $F_3 = 600 \text{ lb}$ * $F_2 = 400 \text{ lb}$ * $F_1 = 700 \text{ lb}$ $F_R = 1254.4$ $\theta = 258.7°$ ### Q 02 Determine the magnitude of the resultant force and its direction θ measured counterclockwise from the positive x axis. * $F_1 = 15 \text{ kN}$ * $F_2 = 20 \text{ kN}$ * $F_3 = 15 \text{ kN}$ $F_R = 31.24$ $\theta = 39.8°$ ### Q 03 Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the positive x axis. * $F_3 = 650 \text{ N}$ * $F_2 = 750 \text{ N}$ * $F_1 = 900 \text{ N}$ $F_R = 1955$ $\theta = 4.11°$ ## Sheet 2 ### Q 04 Determine the magnitude and orientation, measured counterclockwise from the positive y axis, of the resultant force acting on the bracket, if $F_B = 600 \text{ N}$ and $\theta = 20°$. * $F_A = 700 \text{ N}$ $F_R = 839$ $\theta = 14.7°$ ### Q 06 The spur gear is subjected to the two forces caused by contact with other gears. Determine the resultant of the two forces and express the result as a Cartesian vector. * $F_2 = 180 \text{ lb}$ * $F_1 = 50 \text{ lb}$ $F_R = 90i - 113.3j + 42k$ ### Q 07 Express the force as a Cartesian vector. * $F = 900 \text{ N}$ ## Sheet 3 ### Q 08 Determine the magnitude of the resultant force at A. * $F_B = 840 \text{ N}$ * $F_C = 420 \text{ N}$ $F_R = 1183.38$ ### Q 09 If $F_B = 700 \text{ N}$, and $F_C = 560 \text{ N}$, determine the magnitude and coordinate direction angles of the resultant force acting on the flag pole. ### Q 10 The bracket is subjected to the two forces shown. Express each force in Cartesian vector form and then determine the resultant force $F_R$. Find the magnitude and coordinate direction angles of the resultant force. * $F_2 = 400 \text{ N}$ * $F_1 = 250 \text{ N}$ $F_R = 485.15°$ *(166.8, 44°, 6.65°)*

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