Concept explainers
Determine the work of the force when it displaces 2 m.
a)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The force acting on the block is
The displacement of the block is
Draw the free body diagram of block as shown in Figure (a).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (a).
Resolve the force along
Substitute
Thus, the work done by the force on the block is
b)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The force acting on the block is
The displacement of the block is
Draw the free body diagram of block as shown in Figure (b).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (1).
The force acting on the block does not cause any displacement of the block. Hence the work done by the force is zero.
Thus, the work done by the force on the block is
c)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The force acting on the block is
The displacement of the block is
Draw the free body diagram of block as shown in Figure (c).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (c).
Substitute
Thus, the work done by the force on the block is
d)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The force acting on the block is
The displacement of the block is
Draw the free body diagram of block as shown in Figure (d).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (d).
Resolve the force along
Substitute
Thus, the work done by the force on the block is
e)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The displacement of the block is
The given
Draw the free body diagram of block as shown in Figure (1e).
The graph consists of two geometrical cross sectional areas namely triangle and rectangle.
Write the formula for work done force
Here,
Refer Figure (e).
Write the formula for triangle.
Write the formula for rectangle.
Conclusion:
Refer Figure (e).
Calculate the area under the
Substitute
Substitute
Calculate the work done by the force
Substitute
Thus, the work done by the force on the block is
f)
The work of a spring force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The stiffness of the spring is
The spring is originally compressed to
Draw the free body diagram of block as shown in Figure (f).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (f).
Here, the block is subjected to spring force only.
When the spring is originally compressed to
When the spring is released, the displaced to
Substitute
Thus, the work done by the spring force on the block is
g)
The work of a force.
Answer to Problem 1PP
The work done by the force on the block is
Explanation of Solution
Given:
The force acting on the block is
The displacement of the block is
Draw the free body diagram of block as shown in Figure (g).
Write the formula for work done force
Here,
Conclusion:
Refer Figure (g).
Resolve the force along
Substitute
Thus, the work done by the force on the block is
Want to see more full solutions like this?
Chapter 14 Solutions
Engineering Mechanics: Dynamics (14th Edition)
- The 110-lb traffic light is suspended from two identical cables AB and BC, each weighing 0.80 lb/ft. If the maximum allowable horizontal force exerted by a cable on a vertical post is 170 lb, determine the shortest possible length of each cable and the corresponding vertical distance h.arrow_forwardThe 10-Mg barge B supports a 2-Mg automobile A. If someone drives the automobile to theother side of the barge, determine how far the barge moves. Neglect the resistance of the water.arrow_forwardcombine the two forces P and T, which act on the fixed structure at B into a single force Rarrow_forward
- Determine the potential energy of the block that has a weight of 100 N.arrow_forwardThe two forces are equivalent to a force R that has a line of action passing through pont A. Determine R and the distance xarrow_forwardQ4/ Find the value of d of the parallel force system at which the resultant of the two forces acts. 650N 20cm 40cm 600Narrow_forward
- Combine the two forces P and T, which act on the fixed structure at B, into a single equivalent force R.arrow_forwardDetermine the magnitude of the net impulse exerted by the hockey stick on the puck.arrow_forwardThe end of a water hose weighing 0.5 lb/ft is pulled with a 40-lb force that is inclined at 14 to the horizontal. Determine the length s of the hose that is lifted off the ground and the corresponding horizontal distance L.arrow_forward
- The 30-lb block is held in place on the smooth inclined plane by the force P. (a) Knowing that =20, determine P. (b) Given that P=40lb, find the angle .arrow_forwardThe string attached to the kite weighs 0.4 oz/ft. If the tension in the string is 2.8 lb at O and 3.2 lb at B, determine the length s of the string and the height H of the kite.arrow_forward0.5 ft a Go h 1 ft -1.5 ft The snowmobile has a weight of 237-lb, centered at G1, while the rider has a weight of 138-lb at G2. If the acceleration is 24 ft/s?, determine the height of the rider so that the snowmobile's front skid does not lift off the ground.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L