QU 1 a). The displacement at any given time of an object is x = 5 sin 314 t, where the symbols have their usual meanings. i). Determine the velocity of the object, and show that this object is executing simple harmonic motion. ii). Determine the period and frequency of this motion. [x is cm and t in seconds). b). A 3.0 kg block rests on a smooth inclined plane block, (angle of inclination is 30 °). It is connected by a string of negligible mass to a 6.0 kg block hanging over the end of the table, as shown in the diagram below. 3 kg 30° 6kg i). Find the acceleration of each block ii). What is the Tension in the string? c). i.). A driver in a saloon car with narrow tyres finds himself in a sandy environment, what should he do to move his car efficiently through this terrain? ii. Which of the laws of motion accounts for the weight of an object, state it?

QU 1 a). The displacement at any given time of an object is x = 5 sin 314 t, where the symbols have their usual meanings. i). Determine the velocity of the object, and show that this object is executing simple harmonic motion. ii). Determine the period and frequency of this motion. [x is cm and t in seconds). b). A 3.0 kg block rests on a smooth inclined plane block, (angle of inclination is 30 °). It is connected by a string of negligible mass to a 6.0 kg block hanging over the end of the table, as shown in the diagram below. 3 kg 30° 6kg i). Find the acceleration of each block ii). What is the Tension in the string? c). i.). A driver in a saloon car with narrow tyres finds himself in a sandy environment, what should he do to move his car efficiently through this terrain? ii. Which of the laws of motion accounts for the weight of an object, state it?

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Be clear & concise in your answers indicating all relevant steps
QU 1
a). The displacement at any given time of an object is x = 5 sin 314 t, where
the symbols have their usual meanings.
i). Determine the velocity of the object, and show that this object is executing
simple harmonic motion.
ii). Determine the period and frequency of this motion. [x is cm and t in
seconds].
b). A 3.0 kg block rests on a smooth inclined plane block, (angle of inclination
is 30 °). It is connected by a string of negligible mass to a 6.0 kg block hanging
over the end of the table, as shown in the diagram below.
3 kg
30°
6kg
i). Find the acceleration of each block
ii). What is the Tension in the string?
c).
i.). A driver in a saloon car with narrow tyres finds himself in a sandy
environment, what should he do to move his car efficiently through this
terrain?
ii. Which of the laws of motion accounts for the weight of an object, state it?
2

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