SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
Author: Palm
Publisher: MCG CUSTOM
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Chapter 3, Problem 3.43P
Figure P3.43 illustrates a pendulum with a base that moves. The base acceleration is
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Chapter 3 Solutions
SYSTEM DYNAMICS LL+CONNECT
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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- A rock is thrown horizontally off a 100 m high-rise building as shown in Figure Q4(a). It lands 95 m away. At what speed was it thrown?arrow_forwardAn elevator weighing 2,000 lb attain an upward velocity of 16 ft/sec in 4 seconds with uniform acceleration. What is the tension in the supporting cables?arrow_forwardFigure P3.40 illustrates a pendulum with a base that moves horizontally. Thisis a simple model of an overhead crane carrying a suspended load with cables.The load mass is m, the cable length is L, and the base acceleration is a(t).Assuming that the cable acts like a rigid rod, derive the equation of motion interms of ? with a(t) as the input.arrow_forward
- A simple pendulum of length L is set to oscillate in simple harmonic motion. The bob gravitational potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h = hmax/2, then its velocity is:arrow_forwardAs seen in the figure, three masses are connected to each other with the system set up on a table. Table friction and kinetic coefficient of friction is 0.35. (g = 10m / s2). b) Find the acceleration of each mass. c) Find the tensile forces on the ropes. d) How many meters will the object of 6kg go down after t = 3s after the system is released?arrow_forwardA mass weighing 4 pounds is attached to a spring whose spring constant is 36 lb/ft. Find the equation of motion.arrow_forward
- Q6/ A car travelling at speed of 300 m/sec strikes a stone of mass 0.5 kg and 20 cm in size .Estimate Impulse of the force by the stone on the car? Q7/ A ball of mass 0.4 kg is thrown against a brick wall. When it strikes the wall it is moving horizontally to the left at 30 m/sec ,and it rebounds horizontally to the right at 20 m/sec. find the impulse of the force exerted on the wall ?arrow_forwardMECHANICAL VIBRATIONS The system shown in Fig. P3.3 consists of a uniform rod which has length 1, mass m, and mass moment of inertia about its mass center 1. The rod is supported by two springs which have stiffness coefficients ky and k2, as shown in the figure. Determine the system differential equation of motion for small oscillations. Determine also the system natural frequency.arrow_forwardYou are using a lightweight rope to pull a sled along level ground. The sled weighs 435 N, the coefficient of kinetic friction between the sled and the ground is 0.200, the rope is at an angle of 12∘ above the horizontal, and you pull on the rope with a force of 115 N. Find the normal force that the ground exerts on the sled. Find the acceleration of the sled. Is the sled speeding up or slowing down?arrow_forward
- A uniform beam of length, L, and mass, M, is freely pivoted at one end about an attachment point in a wall. The other end is supported by a horizontal cable also attached to the wall, so that the beam makes an angle phi with the horizontal as shown below. To answer the questions below, find algebraic expressions for the tension in the cable, the angular acceleration of the beam, should the cable break, and the resulting angular velocity as the beam falls through the vertical position. A. If L = 2.4 m, M = 5 kg, and phi = 45o, then what is the tension in the cable? B. If the cable snaps, what is the angular acceleration about the pivot point? C. What is the angular velocity of the falling beam, just as it hits the wall?arrow_forwardA point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10-3 kg and charge q2 = +2.00 micro Coulomb is fired toward the fixed charge with an initial speed of 40.0 m/s. Gravity can be neglected. What is the acceleration (in m/s2) of the sphere at the instant when its speed is 25.0 m/s?arrow_forwardIn the figure below Atwood’s machine is drawn - two masses and hanging over a massive pulley of rotational inertia and radius , connected by a massless unstretchable string. The string rolls on the pulley without slipping.a) Find the acceleration of the system and the tensions in the string on both sides of the pulley in terms of in terms of given variables.b) Why are the rope tensions on two sides of the pulley not the same? Explain it physically.c) Suppose mass and the system is released from rest with the masses at equal heights. When mass has descended a distance , find the velocity of each mass and the angular velocity of the pulley.[4***] A string is rolled around a cylinder( kg) as shown in figure. A person pulls on the string, causing the cylinder to roll without slipping along the floorarrow_forward
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