System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 3, Problem 3.5P
A particle of mass m slides down a frictionless ramp starting from rest (see Figure P3.4). The lengths L and H and the angle
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The mass is 169kg
1. A block of mass m slides down on the surface of a wedge of mass M (see figure
below). If there are no frictions between the block and the wedge, and between the
wedge and the table, find the acceleration of the wedge, the normal force between the
block and the wedge, and the acceleration of m relative to the wedge. Discuss your
results in the limit of m<
Plz solve correctly
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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- A particle of mass m at the end of a light string is wrapped around a cylinder of radius a that is at rest on its axis (see figure). All motion in this system is in a horizontal plane (ignoring gravity). The angular velocity of the string is w_0 when the distance from the particle to the point of contact of the cylinder with the string is equal to b. Calculate the angular velocity and tension of the rope after the rope has traveled an angle . t>0 Motion m t= 0arrow_forwardQ3 out of 11 A block B of mass m (see Figure 1) can slide freely on a frictionless arm OA which rotates in a horizontal plane at a constant rate Bis from O. Draw a complete kinetic diagram. How many vectors do you have in your diagrams? (enter in space) Figure 1: Swingarrow_forwardShow the complete solution. Put notes on steps. The wooden block (mass m = 0.6165 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle 0 = 45°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block.NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.arrow_forward
- A ball of mass m, and a block of mass m, are attached by a lightweight cord that passes over a frictionless pulley of negligible mass as in figure (a). The block lies on a frictionless incline of angle 8. Find the magnitude of the acceleration of the two objects and the tension in the cord. (c) The free-body diagram for the block. (The (a) Two objects connected by a incline is frictionless.) lightweight cord strung over a (b) The free-body diagram frictionless pulley. for the ball. m2g sin e mg m2g cose a SOLUTION Conceptualize Imagine the objects in the figure in motion. If m, moves down the incline, m, moves upward. Because the objects are connected by a cord (which we assume does not stretch), the magnitude of the acceleration of m, must be equal to the magnitude of the acceleration of m,. Notice the normal coordinate axes in figure (b) for the ball and the "tilted" axes for the block in figure (c). Categorize We can identify forces on each of the two objects and we are looking for…arrow_forwardCome up with a problem and solve it using these information below.arrow_forwardA ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the Figure 1.1. The block lies on a frictionless incline of angle 0. a. Find the magnitude of the acceleration of the two objects and the tension in the cord. b. What happens in this situation if the angle 0 = 900? c. What happens if the mass m1 = m2arrow_forward
- 1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?arrow_forwardA 10kg block is released from rest at point A the in figure shown. The track is frictionless except for the portion between points B and C, which has a length of 6m. The block travels down the track, hits a spring of force constant 2250N/m and compresses the spring 0.3m from its cquilibrium position before coming to rest momentarily. You may assume that the spring has negligible mass.arrow_forward*Chapter 8, Problem 29 In the figure, a block of mass m = 13 kg is released from rest on a frictionless incline of angle 0 = 27°. Below the block is a spring that can be compressed 3.0 cm by a force of 160 N. The block momentarily stops when it compresses the spring by 7.0 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? (a) Number •1 Units (b) Number 12 Unitsarrow_forward
- 3. An air hockey puck is moving to the right along a horizontal air table (so friction is completely negligible). You apply a (not necessarily constant) force to the left that stops the puck and eventually turns the puck around. See the figure below. At the final time, the puck is now traveling to the left but with a speed less than the initial speed. If the puck is your system, is the work done by your force, positive, negative, or zero. Explain.arrow_forwarduse 9kgarrow_forward8.3 classic mechanics please provide a solution for the followingarrow_forward
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