Calculate tension in limbs:

Q : A horizontal drum of belt drive carries the belt over semicircle around it. It is rotated counter clockwise to transmit a torque of 300N-m. If coefficient of friction between the belt and rope is 0.3, calculate tension in limbs 1 and 2 of belt shown in figure, and reaction on bearing. The drum is having mass of 20Kg and the belt is assumed to be mass less.

 

Sol: Given: Torque(t) = 300N-m

Coff. of friction(µ) = 0.3

Diameter of Drum (D) = 1m, R = 0.5m

Mass of drum(m) = 20Kg.

Since angle of contact = p rad Torque = (T₁  - T₂).R

300 = (T₁  - T₂) X 0.5

T₁- T₂  = 600N                                                                                                                              ...(i)

And,     T₁/T₂  = e^µθ

T₁/T₂  = e(0.3)p

T₁ = 2.566T2                                                                                                                               ...(ii)

Solve (i) and (ii)

We get,

T₁  = 983.14N                                                                .......ANS

T₂  = 383.14N   .......ANS

Now reaction on bearing is opposite to mass of body, and it is equal to

R = T₁  + T₂  + mg

R = 983.14 + 383.14 + 20 X 9.81

R = 1562.484N                                                            .......ANS

Posted Date: 10/19/2012 6:36:04 AM | Location : United States

Ask an Expert

Related Discussions:- Calculate tension in limbs, Assignment Help, Ask Question on Calculate tension in limbs, Get Answer, Expert's Help, Calculate tension in limbs Discussions

Write discussion on Calculate tension in limbs
Your posts are moderated

Write your message here..

Related Questions

What is bolt elongation, Q. What is Bolt Elongation? The required bolt ... Q. What is Bolt Elongation? The required bolt elongation Δ 1 may be calculated by the equation (7): Δ 1 = 3.25 * 10-8 * SB * L0 (in) (7) Where L 0 is the effect

Calculate the vertical anchoring forces, A converging elbow (see Figure 4) ... A converging elbow (see Figure 4) turns water through an angle of 135 o in a vertical plane. The flow cross-section diameter is 400 mm at the elbow inlet, section (1), and 200 mm

A damped single degree mass-spring system, the spring k2 is attached to a b... the spring k2 is attached to a base that is moving vertically with displacement y=yo sin(wt).assume x>y.derive the equation of motion .find the natural frequency and derive the ste

Solve equation by gauss elimination method, Solve the following equation by... Solve the following equation by Gauss elimination Method : 2x + y + z = 10, 3x + 2y + 3z = 18; x +4y +9z = 16 Solve by Gauss-Seidal iteration method: 20x + y - 2z = 17; 3x

Where a and b are positive constants, Assume the production function is giv... Assume the production function is given by the following equation (where a and b are positive constants): Q = aL+bK. What is the marginal rate of technical substitution of labor fo

Find out the moment of inertia of a triangular area, Find out the Moment of... Find out the Moment of Inertia of a triangular area: Find out the Moment of Inertia of a triangular area ABC with base b and height d around its base BC. Therefore or otherwis

Explain ferrite, Ferrite is Magnetic iron rock Ferrite is Magnetic iron rock

Describe about water disposal system, Q. Describe about Water disposal syst... Q. Describe about Water disposal system? Disposal water from the Evaporator Package is cooled down to 50°C by the Disposal Cooler and is sent to Disposal Water Tank(s). Disp

Governor, what is hartnell governor what is hartnell governor

Stone slab culverts with abutments, Stone Slab Culverts with Abutments and ... Stone Slab Culverts with Abutments and Piers: Where good quality stone slabs are available like granite slabs, they can be used for superstructure of culverts, with suitable