Here, we use the concept of Simple Harmonic motion equation to answer Q2 and the concept of simple pendulum to answer Q3.
2. The position of the motion of the bob in a simple pendulum in radians is...
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...
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57 (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t 0s and t0.2s? (c) Plot F(t) as a function of t, for 0 St 4 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...
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...
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 that its period is 17.0 s. (a) How tall is the tower? (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there?
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 that its period is 14.0 s. (a) How tall is the tower? m (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? s
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...
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists of a string of length L and a bob of mass m-5.00 kg attached to the end of the string. The pendulum has a period T-1.00 s. The initial angle (0) at 0 is equal to 0.175 rad. The bob is released from rest (i.e. -0) at -0. The angle between the string and the vertical is given by the equation: e-a cos (or...
A certain simple pendulum consists of a small 750.0 ? bob that swings on the end of a 25.0 ?? string. The small amplitude of the oscillations of this pendulum decays to half its original value after 45.0 oscillations. The angular position of the pendulum as a function of time, ?(?), can be expressed as follows. ?(?) = ??0 ? − ??/2m cos(? ′ ? + ?) ??0 is the original angular amplitude. ? is the time, and ? is...
The motion of a pendulum bob with mass m is governed by the equation mL0" (t) + mg sin θ (t)-0 where L is the length of the pendulum arm, g 3 and θ is the angle (in radians) between the pendulum arm and the vertical. Suppose L 16 ft and the bob is set in motion with (0 1 and 0' (0)--3. Find the second degree Taylor polynomial P2(t) that approximates the angular position θ(t) of the bob near...
You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 5.3 s.The acceleration of gravity is 9.8 m/s2. How tall is the tower??