A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls...
Homework Answers
Scenario A thin hoop of mass M and radius R is released from rest at the...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
A thin, circular hoop of mass m and radius R rolls down a parabolic path POR...
A thin, circular hoop of mass m and radius R rolls down a parabolic path POR from height without slipping (assume R*) as shown in the figure below. Path PQ is rough (and so the shell will roll on that path), whereas path QR is smooth, or frictionless (so the shell will only slide, not roll, In this region). Determine the heighth above point reached by the shell on path QR. (Use the following as necessary m, 9. Hand R.)...
A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) wit...
A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) with the horizontal, as shown in the figure.What is the acceleration(a) of the center of the hoop? Express your answer in terms of some or all of the variablesm,r, theta, and the magnitude of the acceleration due to gravity(g).
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2 kg is placed at the top of an incline of height h-2 m. The surface of the incline makes an angle θ-30° with the horizontal. The hoop is released from rest and rolls without slipping. m MR2 for hoopl a) What is the acceleration of its center of mass (açom) during rolling? b) What is the force of friction in unit vector notation required...
Q10 A hollow sphere and a hoop of the same mass and radius are released at...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
A hoop of mass M = 3 kg and radius R = 0.4 m rolls without...
A hoop of mass M = 3 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to vCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R)...
a small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. In this question, why the y component of the velocity is not vsin(theta) but vcos(theta). Also why the x...
5. A thin hoop of radius R rolls down an incline of height h. What is...
5. A thin hoop of radius R rolls down an incline of height h. What is its speed at the bottom if it was released from rest at the top? a) gh b ghc) Vigh d) V2gh e) none of the above
A solid sphere (I = 2/5 MR2) of mass 0.44 kg and radius 0.022 m rolls,...
A solid sphere (I = 2/5 MR2) of mass 0.44 kg and radius 0.022 m rolls, without slipping, down an incline of height 0.98 m. What is the speed of the sphere at the bottom of the incline?
3. 25 points A uniform hoop of mass M and radius r has a uniform rod...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
A thin, circular hoop of mass m and radius R rolls down a parabolic path POR from height without slipping (assume R*) as shown in the figure below. Path PQ is rough (and so the shell will roll on that path), whereas path QR is smooth, or frictionless (so the shell will only slide, not roll, In this region). Determine the heighth above point reached by the shell on path QR. (Use the following as necessary m, 9. Hand R.)...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2 kg is placed at the top of an incline of height h-2 m. The surface of the incline makes an angle θ-30° with the horizontal. The hoop is released from rest and rolls without slipping. m MR2 for hoopl a) What is the acceleration of its center of mass (açom) during rolling? b) What is the force of friction in unit vector notation required...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
5. A thin hoop of radius R rolls down an incline of height h. What is its speed at the bottom if it was released from rest at the top? a) gh b ghc) Vigh d) V2gh e) none of the above
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...
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