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Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 21P
(a)
To determine
To determine: Expression for the car’s acceleration in terms of
(b)
To determine
To determine: The acceleration of the car at
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Students have asked these similar questions
A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to the
car's ceiling. As the car accelerates the string-object system makes a constant angle of 0 with the vertical.
(a) Assuming that the string mass is negligible compared with m, derive an expression for the car's acceleration in terms
of and show that it is independent of the mass m and the length L. (Use the following as necessary: 0 and g.)
a =
(b) Determine the acceleration of the car when = 23.6°.
m/s²
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A simple accelerometer is constructed inside a car by suspending an object of mass
m from a string of length L that is tied to the cars ceiling. As the car accelerates the
stringobject system makes a constant angle of 0 with the vertical. (a) Assuming that
the string mass is negligible compared with m, derive an expression for the cars
acceleration in terms of u and show that it is independent of the mass m and the
length L. (b) Determine the acceleration of the car when 0 = 23.0°.
Two masses, A and B, lie on a frictionless table, as shown. They are attached to either end of a light rope of length L, which passes around
a pulley of negligible mass. The pulley is attached to a rope of length L, connected to a hanging mass, C. Find the acceleration of each mass.
(You can check whether or not your answer is reasonable by considering special cases for instance, the cases M4 = 0, or MA = MB = Mɛ.)
MA
Hints: the constraints are:
MB
Xc - Xp = L2 (constant) and (Xp- Xa) +(Xp – Xâ) = L1 (constant )
P= pulley
Mc
Draw the Free Body Diagram and write equations of motion for
each mass. Solve for each acceleration šą, ëg, and ëc, as
function of MA , MB , and Mc
Chapter 4 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 4.1 - Which of the following statements is most correct?...Ch. 4.4 - An object experiences no acceleration. Which of...Ch. 4.4 - You push an object, initially at rest, across a...Ch. 4.5 - Prob. 4.4QQCh. 4.6 - (i) If a fly collides with the windshield of a...Ch. 4.6 - Which of the following is the reaction force to...Ch. 4.7 - Consider the two situations shown in Figure 4.8,...Ch. 4 - Prob. 1OQCh. 4 - Prob. 2OQCh. 4 - Prob. 3OQ
Ch. 4 - Prob. 4OQCh. 4 - Prob. 5OQCh. 4 - Prob. 6OQCh. 4 - Prob. 1CQCh. 4 - If a car is traveling due westward with a constant...Ch. 4 - A person holds a ball in her hand. (a) Identify...Ch. 4 - Prob. 4CQCh. 4 - If you hold a horizontal metal bar several...Ch. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Balancing carefully, three boys inch out onto a...Ch. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Give reasons for the answers to each of the...Ch. 4 - Prob. 15CQCh. 4 - In Figure CQ4.16, the light, taut, unstretchable...Ch. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - A force F applied to an object of mass m1 produces...Ch. 4 - (a) A car with a mass of 850 kg is moving to the...Ch. 4 - A toy rocket engine is securely fastened to a...Ch. 4 - Two forces, F1=(6i4j)N and F2=(3i+7j)N, act on a...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Two forces F1 and F2 act on a 5.00-kg object....Ch. 4 - A 3.00-kg object is moving in a plane, with its x...Ch. 4 - A woman weighs 120 lb. Determine (a) her weight in...Ch. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - You stand on the seat of a chair and then hop off....Ch. 4 - Prob. 17PCh. 4 - A block slides down a frictionless plane having an...Ch. 4 - Prob. 19PCh. 4 - A setup similar to the one shown in Figure P4.20...Ch. 4 - Prob. 21PCh. 4 - The systems shown in Figure P4.22 are in...Ch. 4 - A bag of cement weighing 325 N hangs in...Ch. 4 - Prob. 24PCh. 4 - In Example 4.6, we investigated the apparent...Ch. 4 - Figure P4.26 shows loads hanging from the ceiling...Ch. 4 - Prob. 27PCh. 4 - An object of mass m1 = 5.00 kg placed on a...Ch. 4 - An object of mass m = 1.00 kg is observed to have...Ch. 4 - Two objects are connected by a light string that...Ch. 4 - Prob. 31PCh. 4 - A car is stuck in the mud. A tow truck pulls on...Ch. 4 - Two blocks, each of mass m = 3.50 kg, are hung...Ch. 4 - Two blocks, each of mass m, are hung from the...Ch. 4 - In Figure P4.35, the man and the platform together...Ch. 4 - Two objects with masses of 3.00 kg and 5.00 kg are...Ch. 4 - A frictionless plane is 10.0 m long and inclined...Ch. 4 - Prob. 39PCh. 4 - An object of mass m1 hangs from a string that...Ch. 4 - A young woman buys an inexpensive used car for...Ch. 4 - A 1 000-kg car is pulling a 300-kg trailer....Ch. 4 - An object of mass M is held in place by an applied...Ch. 4 - Prob. 44PCh. 4 - An inventive child named Nick wants to reach an...Ch. 4 - In the situation described in Problem 45 and...Ch. 4 - Two blocks of mass 3.50 kg and 8.00 kg are...Ch. 4 - Prob. 48PCh. 4 - In Example 4.5, we pushed on two blocks on a...Ch. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Review. A block of mass m = 2.00 kg is released...Ch. 4 - A student is asked to measure the acceleration of...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - A car accelerates down a hill (Fig. P4.57), going...Ch. 4 - Prob. 58PCh. 4 - In Figure P4.53, the incline has mass M and is...
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