System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Textbook Question
Chapter 3, Problem 3.12P
Instead of using the system shown in Figure 3.2.6a to raise the mass
- Suppose that the friction between the plane and the mass
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Instead of using the system shown in Figure 3.2.6a to raise the mass m2, an engineer
proposes to use two simple machines, the pulley and the inclined plane, to reduce
the weight required to lift m2. The proposed design is shown in Figure P3.12. The
pulley inertias are negligible. The available horizontal space limits the angle of the
inclined plane to no less than 30°. a. Suppose that the friction between the plane
and the mass m2 is negligible. Determine the smallest value m1 can have to lift m2.
Your answer should be a function of m2 and 0.
m₂
m28
(b)
T₁
m₁
mig
A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.
please use the end at the top as the reference point.
a uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.
note: please show free body diagram
Chapter 3 Solutions
System Dynamics
Ch. 3 - Prob. 3.1PCh. 3 - A baseball is thrown horizontally from the...Ch. 3 - For the mass shown in Figure 3.1.3b. m=10 kg, =25...Ch. 3 - A particle of mass m=19 kg slides down a...Ch. 3 - A particle of mass m slides down a frictionless...Ch. 3 - A radar tracks the flight of a projectile (see...Ch. 3 - Table 3.2.1 gives the inertia IO for a point mass...Ch. 3 - A motor supplies a moment M to the pulley of...Ch. 3 - Figure P3.9 shows an inverted pendulum. Obtain the...Ch. 3 - The two masses shown in Figure P3.10 are released...
Ch. 3 - The motor in Figure P3.11 lifts the mass mL by...Ch. 3 - Instead of using the system shown in Figure 3.2.6a...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Derive the expression for the equivalent inertia...Ch. 3 - Prob. 3.18PCh. 3 - The geared system shown in Figure P3.19 represents...Ch. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - For the geared system shown in Figure P3.23,...Ch. 3 - For the geared system discussed in Problem 3.23,...Ch. 3 - The geared system shown in Figure P3.25 is similar...Ch. 3 - Consider the rack-and-pinion gear shown in Figure...Ch. 3 - The lead screw (also called a power screw or a...Ch. 3 - Prob. 3.29PCh. 3 - Derive the equation of motion of the block of mass...Ch. 3 - Assume the cylinder in Figure P3.31 rolls without...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - A slender rod 1.4 m long and of mass 20 kg is...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - The pendulum shown in Figure P3.38 consists of a...Ch. 3 - Prob. 3.39PCh. 3 - A single link of a robot arm is shown in Figure...Ch. 3 - 3.41 It is required to determine the maximum...Ch. 3 - Figure P3.42 illustrates a pendulum with a base...Ch. 3 - Figure P3.43 illustrates a pendulum with a base...Ch. 3 - 3.44 The overhead trolley shown in Figure P3.44 is...Ch. 3 - Prob. 3.45PCh. 3 - The “sky crane” shown on the text cover was a...
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- c) The pulley system shown in Figure Q1c lifts a mass, m, of 550 kg. Calculate the force FAnecessary to maintain the suspended mass in static equilibrium; and determine the forces at the ceiling anchor points A and B. Assume frictionless and weightless pulleys and use g 9.81 m/s.arrow_forwardSolve it.arrow_forwardInstead of using the system shown in Figure.a to raise the mass m2, an engineer proposes to use two simple machines, the pulley and the inclined plane, to reduce the weight required to lift m2. The proposed design is shown in Figure.b. The pulley inertias are negligible. The available horizontal space limits the angle of the inclined plane to no less than 30°. Suppose that the friction between the plane and the mass m2 is negligible. Identify the equation to determine the smallest value m1 that can lift m2. (The answer should be a function of m2 and θ.)arrow_forward
- Q1) Yousif pushes toward the right on an 11.0 N force on the box in the opposite direction. The magnitude of the kinetic friction force between the box and the very smooth floor is 4.50 N as the box slides toward the right. Also, the magnitude of the normal force is 98 N. For the above information, find the following? a box with a force of magnitude 31.0 N. Sarah applies 6. The free-body diagram 7. The mass of the box 8. The box's acceleration in the x-direction 9. The box's acceleration in the y-direction 10. coefficient of dynamic friction Q 2) A rope pulls the block up the ramp, as shown in the figure. Find the following: 7. Draw a free body diagram for the block. 8. Write the equation that sums the forces on the block that are parallel to the ramp. 9. Write the equation that sums the forces on the block that are perpendicular to the ramp. 10. What is the acceleration of the block perpendicular to the ramp? 11. What is the friction force? a = 4.3 m/s? T = N A = 0.45 6.0 kg 0= 30°…arrow_forwardRequired information A photograph of the NASA Apollo 16 Lunar Module (abbreviated by NASA as the LM) is shown on the surface of the Moon. Such spacecraft made six Moon landings during 1969 - 72. A simplified model for one of the four landing gear assemblies of the LM is shown. Assume the weight of the LM is uniformly supported by all four landing gear assemblies, and neglect friction between the landing gear and the surface of the Moon. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m Z B D If the LM has 14950 kg mass and rests on the surface of the Moon where acceleration due to gravity is 1.62 m/s2, determine the forces supported by members AB, AC, and AD. (Round the final answers to four decimal places. Include a minus sign if necessary.) The forces supported by members AB, AC, and AD are as follows: TAB 10621 N TAC= 2903 N TAD 6032 Narrow_forwardi need the answer quicklyarrow_forward
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