Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 42AP
A pendulum with a cord of length r = 1.00 m swings in a vertical plane (Fig. P4.42). When the pendulum is in the two horizontal positions θ = 90.0° and θ = 270°, its speed is 5.00 m/s. Find the magnitude of (a) the radial acceleration and (b) the tangential acceleration for these positions. (c) Draw vector diagrams to determine the direction of the total acceleration for these two positions. (d) Calculate the magnitude and direction of the total acceleration at these two positions.
Figure P4.42
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A pendulum with a cord of
length r = 1.00 m swings in
a vertical plane (Fig. P4.42).
When the pendulum is in the
two horizontal positions 0 =
90.0° and 0 = 270°, its speed is
5.00 m/s. Find the magnitude
of (a) the radial acceleration
and (b) the tangential accel-
eration for these positions.
(c) Draw vector diagrams to
determine the direction of the
total acceleration for these two
positions. (d) Calculate the
magnitude and direction of
Figure P4.42
the total acceleration at these
two positions.
A horizontal turntable is rotating clockwise at a speed of 35.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.0î cm), the spider jumps straight up to a height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your answers in vector form.)
(a)Find the position (in cm) of point A at the instant the spider lands back on the turntable.
rA = ______cm
(b)Find the position (in cm) of the spider at the instant it lands back on the turntable.
rspider, final = _____cm
This figure (la| = 21.0 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 1.90 m at a certain instant of time.
30.0°
1
(a) For that instant, find the radial acceleration of the particle.
m/s2 (toward the center)
(b) For that instant, find the speed of the particle.
m/s
(c) For that instant, find its tangential acceleration.
m/s2 (in the direction of the motion)
Chapter 4 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Review. A snowmobile is originally at the point...
Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 10PCh. 4 - A firefighter, a distance d from a burning...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 14PCh. 4 - A home run is hit in such a way that the baseball...Ch. 4 - Prob. 16PCh. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - Prob. 25PCh. 4 - The pilot of an airplane notes that the compass...Ch. 4 - You are taking flying lessons from an experienced...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - A river flows with a steady speed v. A student...Ch. 4 - You are participating in a summer internship with...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 35APCh. 4 - A particle starts from the origin with velocity...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 41APCh. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - Prob. 47APCh. 4 - You are on the Pirates of the Caribbean attraction...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - A fireworks rocket explodes at height h, the peak...
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