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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Chapter1: Units, Trigonometry. And Vectors
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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
Transcribed Image Text: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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