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Chapter 3: Q. 38 (page 79)

Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25掳, and Paul is pulling a large crate up the ramp with a rope that angles 10掳 above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)

Short Answer

Expert verified

The horizontal component of the force is 541.6N and the vertical component of the force is 5.5 N.

Step by step solution

01

Write the given information

The ramp is tilted at an angle of 25掳
The angle of the rope,胃= 10掳
The force applied to pull, F=550N

02

To determine the horizontal and vertical components of force

According to the figure given below,
The horizontal component of the force is given as
Fx= F cos胃
=550 cos (10鈦�)
=550 (0.98)
= 541.6 N
Thus the horizontal component of the force is 541.6N

The vertical component of the force is given as
Fy= F sin胃
=550 sin (10鈦�)
=550 (0.17)
= 95.5 N
Thus the vertical component of the force is 5.5 N



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