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- We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.The temperature of the atmosphere oscillates from a maximum near noontime and a minimum near sunrise. Would you consider the atmosphere to be in stable or unstable equilibrium?The right circular cone rotates about the z axis at a constant rate of wi = 4.2 rad/s without slipping on the horizontal plane. (Figure 1) Figure 1 of 1 50 mm
- A uniform disk has a pivot point P at the edge, if small oscillation has radius R = 15 cm, mass M = 1.0 kg, and the center of purcussion is how far from the pivot point (Ic.m. = (1/2) MR ^ (2) and give the answer in cm)In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 6"max, to the maximum angular velocity, e'max, is rt s^(-1). What is the time needed for the pendulum to complete two oscillations?0.1 sec In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O max, is rt s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.25 sec 2 sec 04 sec. 0.5 sec. )1 sec Constder a place where the gravity is 4 times the gravity on Earth (g 4g), then the frequercy of oscillation of a simple pendulum in that place. f. as compared O O00
- In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is 2rt s^(-1). What is the time needed for the pendulum to complete two oscillations?In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is TT s^(-1). What is the time needed for the pendulum to complete two oscillations?In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 6'max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete one-half oscillation?
- In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete one-half oscillation?SA-1 The small angle approximation says that if 0 << 1 rad, then sin(0) ≈ 0, where is in radians. Recall that the % error in using this approximation is given by: % error approximate - exact exact x 100 (a) What is the % error in using the small angle approximation for the sine function, for an angle of 1 degree? (b) What is the % error in using the small angle approximation for the sine function, for an angle of 30 degrees? (c) What is the % error in using the small angle approximation for the sine function, for an angle of 80 degrees?In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, e'max, is r s (-1). What is the time needed for the pendulum to complete one-half oscillation?
