Please help me with the following questions. Answer in short and precise way.

1.

MULTIPLE CHOICE. Choose the option or options that best answer the situtation. 1 point each. 1) When a rigid body rotates about a fixed axis, all the points in the body have the same A) tangential speed. B) angular acceleration. C) centripetal acceleration. D) tangential acceleration. E) linear displacement. 2) A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii and are of uniform density. If the three are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first? A) solid cylinder B) hollow pipe C) solid sphere D) They all reach the bottom at the same time. 3) Consider a uniform solid sphere of radius R and mass M rolling without slipping. Which form of its kinetic energy is larger, translational or rotational? A) Both forms of energy are equal. B) Its translational kinetic energy is larger than its rotational kinetic energy. C) Its rotational kinetic energy is larger than its translational kinetic energy. D) You need to know the speed of the sphere to tell.4) A metal bar is hanging from a hook in the ceiling when it is suddenly struck by a ball that is moving horizontally (see gure}. The ball is covered with glue. so it sticks to the bar. During this collision K Hook A) the angular momentum of the system {ball and bar] is conserved about the hook because only gravity is acting on the system? B) the angular momentum of the system (ball and bar) is conserved about the hook because neither the hook nor gravity exerts any torque on this system about the hook. C) the angular momentum ofthe system [hall and bar) is not conserved because the hook exerts a force on the bar. D) both the angular momentum of the system (ball and bar} and its kinetic energy are conserved. E) both the linear momentum and the angular momentum of the system (ball and bar) are conserved, 5) The simple harmonic motion of an object is described by the graph shown in the figure. What is the equation for the position x(t) of the object as a function of time ? 3 12 13 14 18 16 17 7(s) A) x(1) = (4.0 m)sin[(2n/8.0 s)( + 7/3.0] B) x(t) = (4.0 m)cos[(27/8.0 s)t + 2n/3.0] C) x(t) = (4.0 m)cos[(27/8.0 s)t - 7/3.0] D) x(t) = (4.0 m)cos[(27/8.0 s)t + 1/3.0] E) x(t) = (8.0 m)cos[(27/8.0 s)t + 1/3.0] 6) An object is attached to a vertical ideal massless spring and bobs up and down between the two extreme points A and B. When the kinetic energy of the object is a minimum, the object is located A) at either A or B. B) 1/4 of the distance from A to B. C) 1/3 of the distance from A to B. D) 1/1/2 times the distance from A to B. E) midway between A and B. 7) In designing buildings to be erected in an area prone to earthquakes, what relationship should the designer try to achieve between the natural frequency of the building and the typical earthquake frequencies? A) The natural frequency of the building should be almost the same as typical earthquake frequencies but slight ly h B) The natural frequenc Page baildi should be almos. the fan he as typical earthquake frequencies but slightly lower.6] An object is attached to a vertical ideal massless spring and bobs up and down between the two extreme points A and B. When the kinetic energy ofthe object is a minimum the object is located A) at either A or B. B) U4 of the distance from A to B. C) U3 ofthe distance from A to B. D) If 2 times the distance from A to B. E) midway between A and B. 7] In designing buildings to be erected in an area prone to earthquakes, what relationship should the designer try to achieve between the natural frequency ofthe building and the typical earthquake frequencies? A) The natural frequency of the building should be almost the same as typical earthquake frequencies but slightly higher. B) The natural frequency of the building should be almost the same as typical earthquake frequencies but slightly lower. C) The natural frequency of the building should be exactly the same as typical earthquake frequencies. D) The natural frequency of the building should be very different from typical earthquake frequencies. 8) Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air. The string waves and the sound waves must have the same A) amplitude. B) wavelength. C) velocity. D) frequency. E) More than one of the above is true. 9) A stationary siren emits sound of frequency 1000 Hz and wavelength 0.343 m. An observer who is moving toward the siren will measure a frequency f and wavelength 3'. for this sound such that A) if? 1000 Hz and ,5. 1000 Hz and ,3. = 0.343 m. C) {is 1000 Hz and .3. > 0.343 m. D) f: 1000 Hz and .3.