1)A force is applied on a pulley as shown above. What is the torque (in unit of

Question

1)A force is applied on a pulley as shown above. What is the torque (in unit of N.m) delivered by the force?

2)The mass of a cylindrical shell is .2 kg. The R value is .05 m and the length is .5 m. What is the moment of inertia (in unit of kg.m2) when the shell is rotating around its own central axis?

3)An object has a moment of inertia of 6.28 kg*m2, and a torque of 18.64 N*m is applied on it. What is the angular acceleration of the object in unit of rad/s?

4)The mass of a rod rotating around its end is 3 kg. The length of the rod is .1 m. What is the moment of inertia in unit of (kg.m2)?

5)The mass of a solid cylinder is 4 kg. The radius is .05 m. What is the moment of inertia (in unit of kg.m2) of the rod when it is rotating around its own central axis?

6)The mass of a rod rotating around its center is 3 kg. The length of the rod is .1 m. What is the moment of inertia (in unit of kg.m2)?

7)we measured moment of inertia using a 350 gram and 500 gram hanging mass, respectively. The values found were 0.76 and 0.72 kg.m2. What is percent difference of those values?

8)

When preparing equipment, the string for the hanging mass must be draped over the _____ pulley of the rotary sensor.

Inner

Outer

a)

Inner

b)

Outer

6)The mass of a rod rotating around its center is 3 kg. The length of the rod is .1 m. What is the moment of inertia (in unit of kg.m2)? 7)we measured moment of inertia using a 350 gram and 500 gram hanging mass, respectively. The values found were 0.76 and 0.72 kg.m2. What is percent difference of those values? 8) When preparing equipment, the string for the hanging mass must be draped over the _____ pulley of the rotary sensor. a) Inner b) Outer 5)The mass of a solid cylinder is 4 kg. The radius is .05 m. What is the moment of inertia (in unit of kg.m2) of the rod when it is rotating around its own central axis? 4)The mass of a rod rotating around its end is 3 kg. The length of the rod is .1 m. What is the moment of inertia in unit of (kg.m2)? 2)The mass of a cylindrical shell is .2 kg. The R value is .05 m and the length is .5 m. What is the moment of inertia (in unit of kg.m2) when the shell is rotating around its own central axis? 3)An object has a moment of inertia of 6.28 kg*m2, and a torque of 18.64 N*m is applied on it. What is the angular acceleration of the object in unit of rad/s? 1)A force is applied on a pulley as shown above. What is the torque (in unit of N.m) delivered by the force?

Explanation / Answer

1. torque T = Fr sin theta

here theta = 90 deg

so T = 10 *0.5    = 5 Nm

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2. MOment of inertia of cylinder is I = M(L^2 +R^2)/12

so I = 0.2 * (0.5*0.5+ 0.05^2) /12

I   = 0.004208 Kgms^2

-----------------------------------

3. apply Torque T = I alpha

so alpha = ang accleration = 18.64/(6.28)

alpha = 2.97 rad/s^2

-----------------------------------

I = mL^2/12

I = 3 * 0.1*0.1/12

I = 0.0025 Kgm/s^2

-----------------------------

7. % diff = (0.76-0.72)/0.76

%   diff = 5.26 %

-----------------------------------

outer pulley

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