1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57...
1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t-0s and 0.2s? (c) Plot F(t) as a function of t, for 0 st 4π 2. The position of the motion of the bob in a simple pendulum in radians is given by What is the amplitude, frequency, and period of the motion? 3. A man enters...
2. The position of the motion of the bob in a simple pendulum in radians is given by 0(t)-3cos What is the amplitude, frequency, and period of the motion? 3.A man enters a tall tower needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, and its period is 12 s. How tall is the tower? Two playground swings start out together. After 5 complete oscillations, the swings are out of...
2. The position of the motion of the bob in a simple pendulum in radians is given by θ(t)--3 cos(nt + π) What is the amplitude, frequency, and period of the motion? 3. A man enters a tall tower needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, and its period is 12 s. How tall is the tower?
8. A spring stretches 3 cm when a 5 g object is hung from it. The object is replaced with a block of mass 50 g which oscillates in simple harmonic motion. What is the period of the motion? 9. It is known that a load with a mass of 25 g will stretch a spring 5 cm. The spring is stretched an additional 30 cm, and then released. (a) What is the spring's constant? (b) What is the period...
6. A ride at six flags straps you in and you swing like a pendulum. The length of the cord that hold you is about 20 m. How long does it take to swing back and forth thrice? 7. The position of a 0.5 kg object attached to a spring is described by the equation: r(t) = (5 m)cos(2nt). What is the spring constant?
(c) A mass-spring oscillator consisting of a 250 g mass attached to a spring (assumed to be ideal) has a period of oscillation of 0.20 s. Calculate the spring constant for the spring. [5 marks] (d) An object executing simple harmonic motion passes through the equilibrium (zero displacement) position with a velocity of + 2.00 ms. The next time it passes through the equilibrium position is 1.25 seconds later. What is the amplitude of the oscillation? [5 marks] (e) A...
Please do all questions and show work. 1. (2 points) A 200 g mass attached to a light spring oscillates on a frictionless, horizontal table. The mass is pulled 8 cm and released. A student finds that 12 oscillations takes 18 seconds. (a) What is the spring constant? (b) What is the maximum speed of the mass? 2. (3 points) The position of an object connected to a spring varies with time according to the expression x = (7.5 cm)cos...
An object moves uniformly around a circular path of rdius 22.5 cm, making one complete revolution every 2.25 s. (a) What is the translational speed of the object? m/s (b) What is the frequency of motion in hertz? Hz (c) What is the angular speed of the object? Need Help? Read It ее -/2 points SerCP11 13.5.P.034 A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to...
14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in simple harmonic motion is shown below. x (cm) 2.00 1.00 0.0034 -9.00 For this motion, find the following: a) The amplitude b) The period c) The angular frequency d) The maximum speed e) The maximum acceleration f What is the amount of mechanical energy of the system during the motion? g) Write an equation for its position as a function of time....
Problem 4: An object is attached to a spring in such a way that it undergoes simple harmonic motion with a period of 2 s. a) [3 points] What is the angular frequency of the oscillations? b) [3 points] If the mass of the object is 4 kg, what is the value of the spring constant, k? c) [2 points] If the amplitude of the oscillations is 20 cm, what is the total energy of the spring- mass system? d)...