SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
Author: Palm
Publisher: MCG CUSTOM
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Chapter 3, Problem 3.7P
Table 3.2.1 gives the inertia
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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 turntable is a uniform disc of mass 2 kg and radius 1.3 x 10-1 m. The turntable is spinning at a constant rate of = 0.5 . The motor is turned off and the turntable slows to a stop in 8.0 s with constant angular deceleration. Find the (a) moment of inertia of the turntable; (b) initial rotational kinetic energy; (c) angular deceleration of the turntable while it is slowing down; (d) total angle in radians that the turntable spins while slowing down; and (e) magnitude of the frictional torque.arrow_forwardA shaft and its associated rotating parts has a moment of inertia of 50 kg m2. The angular acceleration of the shaft to produce an accelerating torque of 5 kN m is:arrow_forwardConsider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.arrow_forward
- Four masses A, B, C and D revolves at equal radii and equally spaced along a shaft. The mass B is 7kg and the radii of C and D make angle s of 90° and 240° respectively with the radius of B. Find the Magnitude of masses A, C and D and angular position of A, so that the system may be completely balanced.arrow_forwardConsider the compact disc as a tick-walled cylinder has a mass of 16.0 g, and an outer diameter of 11.6 cm and inner diameter of 4.6 cm. Find the (a) moment of inertia of the compact disc about an axis passing through its center and (b) moment of inertia about an axis passing through its edge parallel to the previous axis.arrow_forwardConsider the assembly shown in (Figure 1). Suppose that a = 1.3 ft , b = 0.4 ft , r= 1 ft , and d = 0.15 ft . The material has a specific weight of γ = 90 lb/ft3 Determine the moment of inertia of the assembly about an axis that is perpendicular to the page and passes through point O.arrow_forward
- Consider a hollow drainage concrete cylinder of uniform mass density of 2,400kg/m^3 with length L=60m with R1 of 2.8m. Find its outer radius (R2) in m if the moment of inertia is 5, 067, 000kgm^-2 about its axis to symmetry is.arrow_forwardMass of P is 35kg and mass of R is 40kg. find Qx.arrow_forwardA uniform circular disk 3ft in diameter weighs 960lb. what is its moment of inertia abouti ts usual axis?arrow_forward
- For masses and are 200 kg, 300 kg, 240 kg, and 260kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively and the angles between successive masses are 45 , 75 and 135 . Find the position and magnitude of the balance mass required, if it’s radius of rotation is 1.4 m.arrow_forward1) Diagram below shows four masses M,E,R,S carried by a rotating shaft at radii 100, 125, 200 and 150 mm respectively. The mass of E,R,S are 10 kg, 5 kg, and 4 kg respectively. The planes in which the masses revolve between M and E are 2mm, E and R are 1mm, R and S are 1mm. Determine the required mass of A, mA and the angles a,b,c relative to mass B so that the shaft shall be in complete balance.arrow_forwardA flywheel with moment of inertia 0.8kgm2 rotates with a speed corresponding to 8 revolutions per second. What is the rotational kinetic energy of the flywheel?arrow_forward
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