Physics Rotational Mechanics Level: High School
At t = 0 , a wheel rotating about a fixed axis at a constant angular acceleration of 2.0 rad/s2 turns through 2.4 revolution during a 2.0 seconds time interval . What was the angular velocity omega at the end of this time interval ?.9 rad
b. 4.7 rad
c. 4.5 rad
d. 4.3 rad
e. 4.1 rad
Physics Rotational Mechanics Level: High School
Centre of Mass
Three particles are placed in the x-y plane . A 40 g particle is located at (3,4) meters, and a 50 g particle is positioned at (-2, -6) meter . Where must a 20 g particle be placed so that the center of mass of this three –particle system is located at the origin ?a. (-1, -3) meter
b. (-1, +2) meter
c. (-1, +12) meter
d. (-1, +7) meter
e. (-1, +3) meter
Physics Rotational Mechanics Level: High School
Centre of mass
Two people , one of mass 75.4 kg and the other of mass 60.2 kg , sit in a rowboat of mass 82.8 kg . With the boat initially at rest , the two people , who have been sitting at opposite ends of the boat 2.04 m apart from each other , now exchange seats . How far will the boat move ?
Physics Rotational Mechanics Level: High School
Centre of mass
A mallet consists of a uniform cylindrical head of mass 1.80 kg and a diameter D = 0.066 m mounted on a uniform cylindrical handle of mass 0.516 kg and length L = 0.225 m, as shown in the figure at ‘click here’ . If the mallet is tossed , spinning , into the air , how far above the bottom of the handle is the point that will follow a parabolic trajectory ?
Physics Rotational Mechanics Level: High School
A steel band exerts a horizontal force of 80.0 N on a tooth at point B as shown in the figure at “click here” . What is the torque on the root of the tooth about point A ?
Physics Rotational Mechanics Level: High School
Centre of mass
If m = 0.50 kg , L = 1.2 m and the mass of each connecting rod shown in the figure at “click here” is negligible , what is the moment of inertia about an axis perpendicular to the paper through the center of mass ? Treat the masses as particles .
Physics Rotational Mechanics Level: High School
Conservation of momentum
A 2.0 kg object moving 3.0 m/sec strikes a 1.0 kg object initially at rest . Immediately after the collision at the 2.0 kg object has a velocity of 1.5 m/sec directed 30 degrees from its initial direction of motion . What is the y component for the velocity of the 1.0 kg object just after collision ?
Physics Rotational Mechanics Level: High School
Centre of mass
Three particles are placed in the xy plane . A 30 gram particle is located at (3,4) m , and a 40 gram particle is located at (-2,-2) m . Where must a 20 gram particle be placed so that the center of mass of the three particle system is at the origin ?
Physics Rotational Mechanics Level: High School
To tighten a bolt , you push with a force of 80 N at the end of a wrench handle that is 0.25 m from the axis of the bolt .(a) What torque are you exerting ?
(b) If you move your hand inward to be only 0.10 m from the bolt , What force do you have exert to achieve the same torque ?(c) Do your answer depend on the direction of your push relative to the direction of the wrench handle ?
Physics Rotational Mechanics Level: High School
Center of mass
Two people , one of mass 77.0 kg and other of mass 60.6 kg, sit in rowboat of mass 83.8 kg . With the boat initially at rest , the two people , who have been sitting at opposite ends of the boat 2.00 m apart from each other , now exchange seats , How far will the boat move ?
Physics Rotational Mechanics Level: High School
Four objects are situated along the y axis as follows: a 2.10 kg object is at +3.30 m, a 3.34 kg object is at +2.48 m, a 2.86 kg object is at the origin , and a 3.60 kg object is at -0.440 m . Where is the center of gravity of this system ?
Physics Rotational Mechanics Level: High School
A homogeneous spherical star (before and after) of mass M = 3.2 x 10^31 kg and radius of Rsub 1 = 6.00 x 10 x 10 meters collapses to the size of a white dwarf with radius Rsubf = 5.00 x 10^7 meters . (Notice the notation for subscripts , e.g. , omega subf = letter Greek letter ‘omega’ with a sub f notation )a. Calculate the moment of inertia for an axis through the center of mass before collapse .
b. Calculate the initial angular momentum of the star, if the original angular velocity is omega sub I = 1.05 x 10^-6 rad/sec .
c. Calculate the rotational kinetic energy of the original star ?
d. What is the final angular velocity , omega sub f, of the white dwart ?
Physics Rotational Mechanics Level: High School
A friend says that a baby cannot rotate when the net torque acting on it is zero . Your friends assertion is incorrect . Correct it in less than 50-words .Physics Rotational Mechanics Level: High School
A particle is moving in uniform circular motion on a friction free table. Which of the following statement is true ?a. The tangential acceleration is zero.
b. The tangential acceleration is non-zero.
c. The radial acceleration is non-zero.
d. Both a and c are true.
e. Both b and c are true.
Physics Rotational Mechanics Level: High School
The angular velocity of a rotating body is given by omega(t) = 3 rad/s . The initial angular velocity position in 2 radians . Which function describes the angular position at any time t .a. è(t) = 0 radians.
b. è(t) = 3t + 2 radians.
c. è(t) = (3t^2)/2 + 2 radians.
d. è(t) = 3t radians.
e. è(t) = 2 radians.